{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "using Polynomials, PyPlot, LinearAlgebra\n",
    "# force IJulia to display as LaTeX rather than HTML\n",
    "Base.showable(::MIME\"text/html\", ::Polynomial) = false"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Eigenvalues: The Key Idea\n",
    "\n",
    "If we can find a solution $x \\ne 0$ to\n",
    "\n",
    "$$\n",
    "Ax = \\lambda x\n",
    "$$\n",
    "\n",
    "then, for this vector, the matrix $A$ **acts like a scalar**.  $x$ is called an **eigenvector** of $A$, and $\\lambda$ is called an **eigenvalue**.\n",
    "\n",
    "In fact, for an $m \\times m$ matrix $A$, we typically find $m$ linearly independendent eigenvectors $x_1,x_2,\\ldots,x_m$ and $m$ corresponding eigenvalues $\\lambda_1, \\lambda_2, \\ldots, \\lambda_m$.   Such a matrix is called **diagonalizable**.  Most matrices are diagonalizable; we will deal with the rare \"defective\" (non-diagonalizable) case later.\n",
    "\n",
    "Given such a **basis of eigenvectors**, the key idea for using them is:\n",
    "\n",
    "1. Take any vector $x$ and expand it in this basis: $x = c_1 x_1 + \\cdots c_m x_n$, or $x = Xc$ or $c = X^{-1}x$ where $X$ is the matrix whose *columns are the eigenvectors*.\n",
    "\n",
    "2. For each eigenvector $x_k$, the matrix $A$ acts like a scalar $\\lambda_k$.  Multiplication or division corresponds to multiplying/dividing $x_k$ by $\\lambda_k$.  **Solve your problem for each eigenvector by treating A as the scalar λ**.\n",
    "\n",
    "3. Add up the solution to your problem (sum the basis of the eigenvectors).  That is, multiply the new coefficients by $X$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# The characteristic polynomial\n",
    "\n",
    "To *find* the eigenvalues, one approach is to realize that $Ax = \\lambda x$ means:\n",
    "\n",
    "$$\n",
    "(A - \\lambda I) x = 0 \\, ,\n",
    "$$\n",
    "\n",
    "so the matrix $A - \\lambda I$ is **singular for any eigenvalue λ**.  This corresponds to the determinant being zero:\n",
    "\n",
    "$$\n",
    "p(\\lambda) = \\det(A - \\lambda I) = 0\n",
    "$$\n",
    "\n",
    "where $p(\\lambda)$ is the **characteristic polynomial of A: a polynomial of degree m** if $A$ is $m \\times m$.  The **roots of this polynomial are the eigenvalues λ**.\n",
    "\n",
    "A polynomial of degree $m$ has at most $m$ roots (possibly complex), and typically has $m$ distinct roots.  **This is why most matrices have $m$ distinct eigenvalues/eigenvectors**, and are therefore **diagonalizable**.\n",
    "\n",
    "For example, let's plot the $\\det(A - \\lambda I)$ for a 4×4 matrix $A$.  The result is a *quartic* curve whose roots are the four eigenvalues (computed by the built-in `eigvals` function):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4-element Vector{Float64}:\n",
       " 0.10000000000000009\n",
       " 0.1999999999999999\n",
       " 0.3999999999999998\n",
       " 0.5000000000000001"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# some \"random\" matrix:\n",
    "A = [ 0.325  -0.075   0.075  -0.075\n",
    "      0.025   0.225  -0.025  -0.275\n",
    "       0.15   -0.05    0.25   -0.05 \n",
    "       -0.1    -0.1     0.1     0.4  ]\n",
    "\n",
    "λ = eigvals(A)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(I admit it: $A$ was not chosen at random to have such special eigenvalues.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(0.5, 1.0, 'characteristic polynomial')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ξ = range(0,0.6,length=100)\n",
    "plot(ξ, [det(A - λ*I) for λ in ξ], \"r-\")\n",
    "plot(ξ, 0ξ, \"k--\")\n",
    "plot(λ, 0λ, \"bo\")\n",
    "xlabel(L\"\\lambda\")\n",
    "ylabel(L\"\\det(A - \\lambda I)\")\n",
    "title(\"characteristic polynomial\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Eigenvalue example:\n",
    "\n",
    "For example, consider the matrix\n",
    "\n",
    "$$\n",
    "A = \\begin{pmatrix} 1 & 1 \\\\ -2 & 4 \\end{pmatrix}\n",
    "$$\n",
    "\n",
    "whose eigenvalues are $\\lambda = \\{2,3\\}$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 Matrix{Int64}:\n",
       "  1  1\n",
       " -2  4"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = [ 1 1\n",
    "     -2 4 ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Float64}:\n",
       " 2.0\n",
       " 3.0"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eigvals(A)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The characteristic polynomial is\n",
    "\n",
    "$$\n",
    "\\det(A - \\lambda I) = \\det \\begin{pmatrix} 1 - \\lambda & 1 \\\\ -2 & 4 - \\lambda \\end{pmatrix} = (1 - \\lambda)(4 - \\lambda) - (1)(-2) = \\lambda^2 - 5\\lambda + 6 = (\\lambda - 2) (\\lambda - 3)\n",
    "$$\n",
    "\n",
    "where we have used high-school algebra to factor the polynomial.   Hence its roots are $\\lambda = \\{2, 3\\}$, as computed above."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Eigenvectors\n",
    "\n",
    "Once we have the eigenvalues, finding the eigenvectors is (in principle) easy: **the eigenvectors are just (a basis for) the nullspace**\n",
    "\n",
    "$$\n",
    "N(A - \\lambda I)\n",
    "$$\n",
    "\n",
    "when $\\lambda$ is an eigenvalue.\n",
    "\n",
    "For example, with the matrix above, let's take the eigenvalue $\\lambda_1 = 2$:\n",
    "\n",
    "$$\n",
    "A - 2I = \\begin{pmatrix} -1 & 1 \\\\ -2 & 2 \\end{pmatrix}\n",
    "$$\n",
    "\n",
    "We could go through Gaussian elimination to find the nullspace, but we can see by inspection that the second column is minus the first, hence $x_1 = (1, 1)$ is a basis for the nullspace:\n",
    "\n",
    "$$\n",
    "(A - 2I) x_1 = \\begin{pmatrix} -1 & 1 \\\\ -2 & 2 \\end{pmatrix} \\begin{pmatrix} 1 \\\\ 1 \\end{pmatrix} = \\begin{pmatrix} 0 \\\\ 0 \\end{pmatrix}\n",
    "$$\n",
    "\n",
    "or\n",
    "\n",
    "$$\n",
    "A x_1 = 2 x_1\n",
    "$$\n",
    "\n",
    "as desired.  $x_1 = (1, 1)$ is an eigenvector!  Let's check:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Int64}:\n",
       " 2\n",
       " 2"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A * [1, 1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For the other eigenvalue, $\\lambda = 3$, we get:\n",
    "\n",
    "$$\n",
    "A - 3I = \\begin{pmatrix} -2 & 1 \\\\ -2 & 1 \\end{pmatrix}\n",
    "$$\n",
    "\n",
    "from which it is obvious that a basis for the nullspace is $x_2 = (1, 2)$.  Let's check:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Int64}:\n",
       " 3\n",
       " 6"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A * [1, 2]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Yup, $A x_2 = 3 x_2$!\n",
    "\n",
    "For more complicated cases, of course, we might have to go through elimination to find the nullspace.  In practice, though, we alway just let the computer do it.  The `eig` function in Julia will return the eigenvalues and eigenvectors:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Eigen{Float64, Float64, Matrix{Float64}, Vector{Float64}}\n",
       "values:\n",
       "2-element Vector{Float64}:\n",
       " 2.0\n",
       " 3.0\n",
       "vectors:\n",
       "2×2 Matrix{Float64}:\n",
       " -0.707107  -0.447214\n",
       " -0.707107  -0.894427"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "λ, X = eigen(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Float64}:\n",
       " 2.0\n",
       " 3.0"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "λ"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 Matrix{Float64}:\n",
       " -0.707107  -0.447214\n",
       " -0.707107  -0.894427"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The columns of `X` are indeed the eigenvectors from above, but they are scaled differently (they are normalized to unit length).  If we divide each one by its first element, though, we should recover our scaling from above:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Float64}:\n",
       " 1.0\n",
       " 1.0"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X[:,1] / X[1,1]  # first column, with first entry scaled to 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Float64}:\n",
       " 1.0\n",
       " 2.0"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X[:,2] / X[1,2] # second column, with second entry scaled to 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In practice, computing eigenvalues by hand, especially by this method, is even more pointless than doing Gaussian elimination by hand, for reasons explained below, so I will **focus more on the properties of eigenvalues and how to use them than how to compute them.**  The computer will give us their values."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Matrix powers: A first look\n",
    "\n",
    "If you multiply an eigenvector by $A^n$, it just multiplies the vector by $\\lambda^n$.  We will explore this more later, but for now let's try a couple of quick examples:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Int64}:\n",
       " 32\n",
       " 32"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A^5 * [1,1] # gives 2⁵ * [1,1] = [32, 32]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What if we multiply some *other* vector $y$ by $A^n$? To understand what happens, we **expand *y* in the basis of eigenvectors**.  A simple example is:\n",
    "$$\n",
    "A^n \\begin{pmatrix} 2 \\\\ 3 \\end{pmatrix} = A^n \\left[ \\begin{pmatrix} 1 \\\\ 1 \\end{pmatrix} + \\begin{pmatrix} 1 \\\\ 2 \\end{pmatrix} \\right]\n",
    "= 2^n \\begin{pmatrix} 1 \\\\ 1 \\end{pmatrix} + 3^n \\begin{pmatrix} 1 \\\\ 2 \\end{pmatrix} \\approx 3^n \\begin{pmatrix} 1 \\\\ 2 \\end{pmatrix} \\mbox{ for } n \\gg 1.\n",
    "$$\n",
    "In this basis **each eigenvector is multiplied by λⁿ**.  Furthermore the **term with the biggest |λ| grows fastest** so for large *n* the result is approximately in the corresponding eigenvector direction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Float64}:\n",
       " 5.15377520732012e47\n",
       " 1.030755041464024e48"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y = A^100.0 * [2,3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Float64}:\n",
       " 5.153775207320113e47\n",
       " 1.0307550414640226e48"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "2^100.0 * [1,1] + 3^100.0 * [1,2]  # same, but computed with eigenvectors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result is approximately a multiple of $(1,2)$, so the second component should be nearly double the first component:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.0"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y[2] / y[1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The same reasoning shows that for *any* vector $z$ that is not a multiple of $(1,1)$, $A^{100}z$ will blow up proportional to $3^{100}$ and will be approximately parallel to $(1,2)$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Float64}:\n",
       " -1.1338305456104243e49\n",
       " -2.26766109122085e49"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "z = A^100.0 * [17,-5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.0000000000000013"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "z[2]/z[1] # approximately 2 since z is nearly parallel to (1,2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Transpose: Same eigenvalues!\n",
    "\n",
    "One of the properties of determinant is that $\\det A^T = \\det A$.   It follows that\n",
    "$$\\det(A-\\lambda I) = \\det\\left[ (A -\\lambda I)^T \\right] = \\det (A^T - \\lambda I)$$\n",
    "and therefore $A$ and $A^T$ have the **same eigenvalues!**  (They have the **same characteristic polynomial**.)\n",
    "\n",
    "Let's check:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Float64}:\n",
       " 2.0\n",
       " 3.0"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eigvals(A')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Yup, same eigenvalues (2 and 3) as for $A$.\n",
    "\n",
    "However, $A$ and $A^T$ in general have **different eigenvectors**, because the **left and right nullspaces are not usually the same**.  $N(A - \\lambda I) \\ne N(A^T - \\lambda I)$ in general.  Here, the eigenvectors are:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 Matrix{Float64}:\n",
       "  1.0   1.0\n",
       " -0.5  -1.0"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Y = eigvecs(A')\n",
    "Y ./ Y[1,:]' # normalize so that the first components are 1, for easier comparison"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that these are different from the (1,1) and (1,2) that we got above.\n",
    "\n",
    "As you might guess, the eigenvectors of $A^T$ are sometimes called its **left eigenvectors**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Complex eigenvalues\n",
    "\n",
    "If we change the matrix to:\n",
    "$$\n",
    "\\begin{pmatrix} 1 & 3 \\\\ -2 & 4 \\end{pmatrix}\n",
    "$$\n",
    "we get a characteristic polynomial:\n",
    "$$\n",
    "\\det \\begin{pmatrix} 1 - \\lambda & 3 \\\\ -2 & 4 - \\lambda \\end{pmatrix} = (1 - \\lambda)(4 - \\lambda) - (3)(-2) = \\lambda^2 - 5\\lambda + 10\n",
    "$$\n",
    "whose roots, from the quadratic formula, are:\n",
    "$$\n",
    "\\lambda = \\frac{5 \\pm \\sqrt{5^2 - 40}}{2} = \\frac{5 \\pm \\sqrt{-15}}{2}\n",
    "$$\n",
    "which are complex!  Let's check:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{ComplexF64}:\n",
       " 2.5 - 1.9364916731037085im\n",
       " 2.5 + 1.9364916731037085im"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eigvals([1 3\n",
    "        -2 4])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.5 + 1.9364916731037085im"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(5 + sqrt(15)*im) / 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Yup, it matches our formula.\n",
    "\n",
    "**Eigenvalues may be complex numbers, even for real matrices**.  We can't avoid complex numbers for any longer in 18.06!\n",
    "\n",
    "(But, for real matrices, they are the [roots of a real polynomial](https://en.wikipedia.org/wiki/Complex_conjugate_root_theorem) and hence come in [complex conjugate pairs](https://en.wikipedia.org/wiki/Complex_conjugate).)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# The perils of polynomial roots\n",
    "\n",
    "You might think that finding roots of polynomials is we must inevitably find eigenvalues.  In fact, although we use the characteristic polynomial to *think* about eigenvalues, in practice they are not used to *compute* them except for tiny matrices.\n",
    "\n",
    "In fact, working with the characteristic polynomial is a computational disaster in general, because **roots of polynomials are exponentially sensitive to their coefficients**.  Any tiny roundoff error leads to disaster.\n",
    "\n",
    "For example, consider the polynomial\n",
    "\n",
    "$$\n",
    "w(x) = (x - 1) (x - 2) (x - 3) \\cdots (x - 10)\n",
    "$$\n",
    "whose roots are, obviously, ${1,2,\\ldots,10}$.  What happens if we actually multiply this polynomial together and compute the roots from the coefficients?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$3.6288e6 - 1.062864e7\\cdot x + 1.2753576e7\\cdot x^{2} - 8.4095e6\\cdot x^{3} + 3.41693e6\\cdot x^{4} - 902055.0\\cdot x^{5} + 157773.0\\cdot x^{6} - 18150.0\\cdot x^{7} + 1320.0\\cdot x^{8} - 55.0\\cdot x^{9} + 1.0\\cdot x^{10}$"
      ],
      "text/plain": [
       "Polynomial(3.6288e6 - 1.062864e7*x + 1.2753576e7*x^2 - 8.4095e6*x^3 + 3.41693e6*x^4 - 902055.0*x^5 + 157773.0*x^6 - 18150.0*x^7 + 1320.0*x^8 - 55.0*x^9 + 1.0*x^10)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w = prod([Polynomial([-n, 1.0]) for n = 1:10])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Already, this seems hard: how do we find roots of a high-degree polynomial?  More on this below.\n",
    "\n",
    "For the moment, we will just use a \"black box\" function `roots` provided by the Polynomials package to \"magically\" get the roots of $w$ from its coefficients:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10-element Vector{Float64}:\n",
       "  1.0000000000000342\n",
       "  1.999999999998515\n",
       "  3.0000000000138605\n",
       "  3.9999999999602096\n",
       "  4.999999999950206\n",
       "  6.0000000005467955\n",
       "  6.999999998669565\n",
       "  8.000000001559398\n",
       "  8.999999999086734\n",
       " 10.000000000214685"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "roots(w)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks good!  The roots are what they should be.\n",
    "\n",
    "Howevever, suppose we make a *tiny error* in computing the coefficients.  Let's multiply each coefficient by $1 + \\epsilon$, where $\\epsilon$ is a *random small number* of root-mean-square value $R$.\n",
    "\n",
    "The following code plots the roots in the [complex plane](https://en.wikipedia.org/wiki/Complex_plane) for 100 random perturbations, and lets us vary the magnitude $R$ of the pertubation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6ugAgnnzySeF0OsW+fftESkqKiIiIEADE559/HtR3lxDCZx29oDnQc0JL8R1OdKgjYgHg+PHjEEJ4LFMlJCQAUEaFBbuunvnz5+O1117DrFmz8O9//xuxsbG4++67MXnyZNSuXVvzNaWxXT1nz55F+fLlERERofm8OnLWZrPho48+0l0PAJo0aYKZM2cGtN3ExMTgC6sjKioKQgicO3cOsbGxpfKexe0XILz3TfXq1TXPiX/++QcAUK1aNY/lge7DG2+8EQDwww8/oH79+rhw4QK6deuGv//+uzDNxg8//IBOnTohOjr6kuvgLjIyEoBybPQcP34cBQUFcDgcftcJ5PNUqVIlXLx4EW+//TbefvttzfcqaYqcknwPuPNep1y5ch7H/NixY0GXXWt/lCZ/7++vPoHW5fjx43C5XJr7L5B9Gmh5VJGRkRg0aBDeeOMNTJkyBRcuXMCCBQswfPjwwnO1OHPmzEGzZs1w8uRJzJ8/Hx988AH69u2L//73vx7rxcbG4uqrrw7oPbX60yUmJhZ+r9xyyy0AgDFjxqB///6oUaNGQO/rT/Xq1bFz504kJyd7LL/55psxdOhQbNq0qfC7w90rr7yC1157DePHj8czzzyj+/6BrgcAv/76KzZs2IAhQ4b4PQ7FrRdMnQJdN9jv5UAEU87nn38eeXl5yM7ORkxMDADg+uuvR3x8PAYMGICHH34YXbp08XifYM6d4vbpgAEDcOTIEbz22mt47733AAAdOnTAiBEjMGnSJFx22WVBfXft2bMH9evX93guIyPDZ6xKoOeEnhIHm+6dbqtWrQq73e7RMVV14MABAEqH2GDX1RMfH49p06Zh2rRp2LdvH7755hs8//zzOHz4ML7//nvN15TGdv2V5/z58zh9+nThyafKzs7Gbbfdhk6dOmHNmjX48MMP8fTTT+u+V506dfDYY4+VqByX4p9//kFkZKRHkFS7dm3N9BRjx47VzFV26NAhj7/97Rcg/PdNixYtMG/ePFy8eNHj4vPbb78BAK688kqP9bX2oRaHw4HGjRvjhx9+QFJSEtq0aYMqVaqge/fueOqpp/DLL79g3bp1eOWVV0q/UgGoVq0aIiIi4HQ6ddcJ9PNUtWpVREREoF+/frrH1vuLLlAl+R5wd+jQIVx22WWFf1+8eBHHjh0rDNBLUvZgBuZFRUV5DLZS+Qu+/b2/v/oEWpeoqCjYbDafz7L6/sEobv+qnnzySUycOBEffvghzp07h4sXL+KJJ54IeDvNmjUrHBR0ww03oKCgALNmzcIXX3yB++67r3C9VatW4YYbbgjoPXfv3q05eMvdtddei/fffx+7du0qlWCzZcuWmnkL1e9grdRxr7zySuH38b/+9S/d9w50PVV6ejoAFPt9W9x6wdQp0HWD/V4ORDDlzM7ORvPmzX2uaWoaoN9//90n2PTm79wJZN+PHj0aQ4cOxc6dO1GpUiXUq1cPgwYNQkxMDFq3bg0hRMDfXQkJCT4D8Zo0aeKzfqDnhK5gm0L10lp06NBB1K5d2+O2X0FBgWjRooVPn81A133rrbcEALF169Ziy3XXXXeJGjVq+F0n0O0Gext9zpw5mre4/vjjD1GzZk1x8803i/Pnz4s777xTxMfHixMnTgT0vqUh0NvoPXr0EK1atSrVbevtFyHk2Dfq7QbvASc33XSTT4oNIYLbh0899ZSIj48XrVq18kghkZiYKHr27CkAiPXr13u8xvs2ur/Ph97n1Ps99HTr1k1UrVrVb/qaQD9PN954o7jqqqs0b026C/Y2upZAvgeK61P4ySefFC4LtOz+0v3oHafU1FRht9s9ujTk5+eLhg0b6t5G13r/QOsTaF2M7rPpvn9VDzzwgLj88stF3bp1xV133VXsNoTQHyD0zz//iKpVq4pmzZp59Gu71Nvo3vr16yfsdrvffs3e/H3nLF26VAAQ48eP91g+depUAUD8/PPPHsvHjRsngOJT0AS6nurcuXOiWrVq4tprr73k9YKpU6DrBvu9rCqtfX/DDTeIGjVqePRVF0KItLQ0AaBw4J4/eudOoPve2969e0VcXJxHH/ZAP++BKGm53JVasKmOTG3Xrp1YuHCh+M9//iOSk5P9jkYvbl31IjNo0CCxdu1akZWVJU6cOCFatWolpkyZIr799luxcuVKMWXKFBEVFSUeeOABv2UPdruBBpv79u0TgOcouN27dwuHwyE6d+5ceDHetm2biIiI8BhhbJQlS5aIhQsXFvaJ7NWrl1i4cKFYuHChz4CfgoICERcXJ4YPH16qZdDaL0LItW969OghqlatKtLS0sSKFSvEwIEDBeA5yEGI4PfhokWLCvuYrVq1qnD5o48+KgCIqlWr+uQm9Q4UtT4f6gCtSw021dHoDRo0KKz7vHnzRN++fX1Goxf3edqyZYuoWrWquPbaa8Xs2bNFRkaG+Oabb8TUqVPFDTfcULheMMHmpXwPeI+WXrZsmXjzzTdFbGysz5dzoGX3FwzqHaddu3aJ8uXLi65du4rvvvtOLFq0SHTp0kXUr1+/RMFmcfUJtC7Lli0TdrtdXHfddeKrr74SX3zxhWjbtq2oW7duUMFmIPtX9csvvxR+Hn744YdityGEfrAphBCTJ0/WDWyDNXDgQPHcc8+J+fPni5UrV4ovvvhC9OnTRwAQI0eOLFxv5cqVIiIiQrzyyis+7xHod87tt98uIiMjxauvviqWL18uUlNTRVRUlLjttts83u/1118XAMRNN91UmOHA/RHseu4+//xzAUCkpaX53S+BrhdonYJZN9DvZSFKf9//5z//ETabTbRv317Mnz9f/Pjjj2L8+PEiNjZWNG/e3OP8DvTcCWaf/vbbb2Ls2LFi8eLFYvny5eL1118X8fHxok2bNh4BcKCf90AEeqz9KbVgUwghfv75Z9GtWzcRExMjoqOjRfv27cW3336r+T6BrjtmzBiRkJAg7Ha7ACC+//578cQTT4iWLVuKypUri+joaNGkSRPx8ssvB5RQO5DtBhtsCiFE586dxS233CKEUDoqX3755eKaa67xGQk2cOBAERkZaXii+nr16ml2ntcKNH788UcBQGzcuLHUy+G+X4SQb9+cPHlSDB48WNSuXVtUqFBBtGzZUnMkXrD78Pjx48Jut4uYmBiPgS1q649WCiWtQNH785GRkSGEuPRgUwghtm7dKnr16iWqV68uKlSoIBITE8Ujjzzi0Tk80M/x7t27xYABA8Rll10mypcvL2rUqCE6duwoXnvttcJ1ggk2z507V+LvAXXfbNy4Udx+++0iNjZWVKpUSfTt21czCXYgZff3vSiE/nFasmSJuPrqq0V0dLRo0KCBmDFjht8BQv6CzUDqE0hdhBDim2++ES1btiw87hMnTtQsV2nsX1VSUpJo1qxZse+v8hdsnj17ViQmJopGjRr5HXQYiA8//FB07txZxMfHi3LlyokqVaqILl26+ASy6nmq1XIW6HfOmTNnxOjRo0XdunVFuXLlRGJiohgzZozPgIwuXbrovp/7MQp0PXc9evQQMTExHplFLmW9QOsUzLqBfi8LUfr7XgghVqxYIXr27Clq164toqOjRePGjcVzzz0njh496rFeoOdOMPt0+/bt4vrrrxfVqlUTFSpUEA0bNhQvvviiOHXqlM+6gX7eixPosfbHJoRGpzwK2qJFi9CnTx/s3bvXo5+SDPr164ddu3YZMreqzPslGEbuQypdY8eOxSuvvIIjR46UuJ82la5ff/0VV111Fd555x089dRToS4OEZWy0E9WbRH33HMP2rZti9TU1FAXJSh//fUX5s+fj0mTJhny/rLul2AYvQ+JrOqvv/7CihUr8Pjjj6NOnTp45JFHQl0kIjIAg81SYrPZMHPmTCQkJMDlcoW6OAHbt28fZsyYUTglYGmTdb8Ew+h9SGRVr776Knr06IFTp05h4cKFHlPwEZF18DY6ERERERmGLZtEREREZBgGm0RERERkGAabRERERGSYEk9XSfpcLhcOHDiASpUqBTV9HREREYWOEAInT55EQkKC5hShVDIMNg1w4MAB1K1bN9TFICIiohLIycmBw+EIdTEsg8GmASpVqgRAOVkrV64c4tIQERFRIPLy8lC3bt3C6ziVDgabBlBvnVeuXJnBJhERkWTYBa50sUMCERERERmGwSYRERERGYbBJhEREREZhsEmERERERmGwSYRERERGYbBJhEREREZhsEmERERERmGwSYRERERGYbBJhEREREZhsEmERERERmGwSYRERERGYbBJhERhQ2nE8jIUP4lImtgsElERGEhPR2oVw/o1k35Nz091CUiotLAYJOIiELO6QQefxxwuZS/XS5g0CC2cBJZAYNNIiIKuZ07iwJNVUEB8OefoSkPEZUeBptERBRyjRoBdq8rUkQE0LBhaMpDRKWHwSYREYWcwwGkpSkBJqD8+8EHynIiklu5UBeAiIgIAFJSgORk5dZ5w4ZKoOl0KrfYGzVi4EkkK7ZsEhFR2HA4gK5dlX85Op3IGhhsEhFR2OHodCLrYLBJRERhh6PTiayDwSYREYUVpxM4cgSw2TyXc3Q6kZw4QIiIiMJGenrR7XObTXkIwdHpRDJjsElERGHBu5+mGmTOmwd06MBAk0hWvI1ORERhQa+fZo0aDDSJZMZgk4iIwgJnESKyJgabREQUFjiLEJE1sc8mERGFDa1ZhIhIbmzZJCKisKLOIgQAGRlM5E4kOwabREQUdjhVJZF1MNgkIqKwwqkqiayFwSYREYUVTlVJZC0MNomIKKxopUACgKws88tCRJeOwSYREYUVhwOYNMl3+ZgxvJVOJCMGm0REFHZat/ZdxlvpRHJink0iIgobTqfSZzM2VrmV7t53027nbEJEMmLLJhERhQX3dEft2wP9+gE2W9HzQgBLl4aufERUMjYhhAh1IawmLy8PcXFxyM3NReXKlUNdHCKisOd0KoGmd0sm4LksIgLYs4czC5ExeP02Bls2iYgo5LTSHblcTIFEZAUMNomIKOS00h3Z7b7LIiLYb5NINgw2iYgo5BwOIC1NCSYB5d+0NN9lH3zAW+hEsmGfTQOwzwcRUck4ncpt8oYNi4JKrWVERuD12xhMfURERGHD4fANKLWWEZE8eBudiIiIiAzDYJOIiMKW0wlkZHCaSiKZMdgkIpKUFQMx9zq5J3mvV0/5m4jkw2CTiEhCVgzEvOv02GNFeTZdLuDxx60VWBOVFQw2iYgk4nQCCxYAAwd6BmKDBskdiDmdSjDpXidvLheQmWluuYjo0jHYJCKShNry16ePMk+4O9ln1tGaQYiIrIHBJhGRBLxb/rzJPrOO1gxC3mw2oEMHc8pDRKWHwSYRkQSKa/lzuYClS80rjxGGD/ecLah//6IA1G4HZs5kvk0iGXEGIQNwBgIiKm1Op3IL3V/AGREB7NkjX0CWnl7UamuzAc89BwwZotSDsweRmXj9NgZbNomIJOA9d7jN5ruOjP02s7I8BzsJAbzxhlLXrCyl3l27MtAkkpmlg82ffvoJt99+OxISEmCz2fD1118X+5pVq1ahdevWiIqKQoMGDfD+++8bX1AiogCkpACpqUqgqXVPSrZ+m+npQPv2vnURAnj1VeDaa4FHHglJ0YioFFk62Dx9+jSuuuoqzJgxI6D1d+/ejVtuuQWdO3fG5s2b8a9//QuDBw/GokWLDC4pEVHxnE7g+ef1A80PPpCnBbC4AU+qjz9WWjjLAism6ScCgHKhLoCRbr75Ztx8880Br//+++8jMTER06ZNAwA0a9YMGzZswOuvv457773XoFISEQVGb5DQm28C990nT6AJBJfqaM0aoG1bY8sTau79Vu12pRtBSkqoS0VUOizdshmszMxM9OzZ02NZcnIyNmzYgAsXLui+Lj8/H3l5eR4PIqLSppUeKCJCvkATCCzVkapTJ2PLEkpWTdJP5I7BpptDhw6hVq1aHstq1aqFixcv4ujRo7qvS01NRVxcXOGjbt26RheViMog70FCst06d+ddFz0dO1q3VdPKSfqJ3DHY9GLzGuKpZobyXu5uzJgxyM3NLXzk5OQYWkYiKrtSUpT0RhkZyr8y32pV67JggfboegD45RdrtvBZPUk/kTtL99kMVu3atXHo0CGPZYcPH0a5cuVQvXp13ddFRkYiMjLS6OIRERWySoZkhwPo1QvIy9MOvtQWPhlbb/3x12fVbpe3xZpIC1s23XTo0AHLly/3WLZs2TK0adMG5cuXD1GpiIiKqLdeu3VT/k1PD3WJSkdKCrBunXYLpxVHo8fG+n8+OdmcchCZwdLB5qlTp5CdnY3s7GwASmqj7Oxs7Nu3D4By+/vhhx8uXP+JJ57A3r17MXz4cGzbtg0ffvgh0tPTMWLEiFAUn4jIg/etV5dL+dsqwVidOtrLn3/eerfST53Sf87lYn9NshZLB5sbNmxAq1at0KpVKwDA8OHD0apVK7z00ksAgIMHDxYGngBQv359LFmyBCtXrsTVV1+NV199FW+99RbTHhFRWNC69epyAe3aWaOFc+dO7e4BVgy+/I3GZ39NshrOjW4Azq1KREbwNz+6rPOiu9Orn90O7N0rd920pKcrKY4KCoqWqRkGZB74JTNev41h6ZZNIiIrUdMFabWIWSFVjl79hg8HDh603uw67pkF1q+3RoYBIi1s2TQAfxkRkZFefBEYP95zmRVaNlVZWcDixcCuXcDcuZ4tnZxdh4zE67cxmPqIiEgiTieQmuq7PDXVGoGm+7SNWtTZdZKTrVFfQDmmO3cq/TitUicid7yNTkQkEb38jFaYZae4ROcqK3QZUFk1lRWROwabREQS0cvPGBNjbjmM4C/RuTurjNbWSmXFOdHJihhsEhFJZMEC7eWnT5tbDiM0aqQ/baVK5vngvWkF1wUFwPTpoSkPkVEYbBIRScLpBKZO9V1ut1ujpc/hACZN8r/O119bZ3CQXq7NqVPZuknWwmCTiEgSereZ77vP/LIYZeRIYMoU/eet0lcTAJYu1T6eLheQmWl+eYiMwmCTiEgSei1hCxZYa3DJiBHAt99qP9epk7llMYraX1NPnz7WOZ5EDDaJiCThcAD9+mk/Z7XBJbfdBvTv77msf39rjLoHgLVr/Q+GEsJax5PKNgabRESScDqBTz7Rf94qKYGcTmU2nddeU2bWefNN5d+PPgp1yUpHejpw//3Fr2eV40nEpO5EZElWTJRdXGogKwwUck/qrs4WNHRoqEtVetTb54HM3WeVFE9EbNkkIsuxaqJsvT6bKiGUQSeyKgt5J/39YLDbi1I/WSnFExGDTSKyFCsHLA6H0tIXEaH87R6cAPL389PLO2mlW8laPxjsdmWQ1969wL59SheCPXusk+KJiMEmEVmK1QOW5GRg7lwlOJk3z/d2rMx11UrqrnYNUPtxyhpIq7x/MEREKLlFhVAGDQFA165s0SRrYZ9NIrIUteXIPeCUve+b06kEIj/+CMycqQQmdjswcaL16upNCODzz4HRo4v6cU6apKRHklVKivKj4c8/gawsYNSooh8NNptyjNmqSVbClk0ishStliOZ+76lpwOJiUrexbS0oqDE5QLGjFECL6vUdedO35ZaIYoCTUD5t7jE7zJwOJQfBaNHe9ZZ9q4QRFrYsklEluPectSwobzBl9MJDByoP3K5oABo00bp3yd7XQEgNlZp2XOvr3fLrer554G+feWsr5op4cgR7WNbUKDMINSrl/llIzICWzaJyJIcDvn7vmm19LlTb5lboa7p6UD79r6B5vPPa4/Ad7nk7Jvqnimhb1/99Xr3tk4WBSIGm0RkebIOLtEaMKOy2+W+Ze7OO4OAyuVS+qXee6/va2Tsm6qVKUHv+AK8nU7WwWCTiCxN5pybDocyWMQ9ILHZlMExe/dqDyKRMbD2l3vS5QIWLQL+9a+iFk5Z+6Zq1VMI/YBT5swCRO5sQgQyjwEFIy8vD3FxccjNzUXlypVDXRyiMsvpVAJM79Hae/bIFag4nUofPgDo0EG/7Fqz78gwqlnrOHlbsECpu8x9U/XOx9RUZbBXQYHn+jKeq7Lj9dsYbNkkIsuySs5Nh0MZLNKrl37gIXMye4dDuV0eyHoy903Vy5QwcqQSVI4YIX/rLZEWjkYnIsvasMF3mYx9/QLhL7CWIWBp00b/OZtNadW0AjUpv1on9dg4HEo6pyFD5G69JdLCYJOILMnpVHIYeps40ZoXcXUwkXvHKJtNnsBaKxk/UJTk3ArHLJBuDg6HNepK5I630YnIktau1U4bVK+e+WWh4jkcQL9+nsuSk5W5wmXod1ocf90cZBzURRQMBptERBagFVwLUTSwKNw5ncAnn3gu++GH0JTFCHrdHKZPlzdbAlGgGGwSkSXt2+e7zG63Tt8/ldoqduxYqEtyaawymEuP2k3AXUQE8MYbcg7qIgoGg00ispyy0l/TPYfoM8/4Pi/TwBq9YEyWPqfF0RqJPmyYb2u0lQJsIhWDTSKyHL0k4W3bml8Wo2j1AbTbixKE2+1yDazRSwskS/kDkZKipDjKyFD+HTLE2gG2N/ZNLbsYbBKR5ZSFlEdaAbXLBcyfr1zQ9WYYCmfuwVhmJlCpkpLM3UrBiXuu0LIQYKtknsmLLh1nEDIAZyAgCh292WimTFGSZluFVWZH8uZ0KoNm3nij6Bazmv5ItuA5UE6ntXNrynSu8vptDLZsEpGl6N1Cr1fPWrfwtFIFPfRQ+F28g5GeDiQmAq+/7tmXUQjrDZxxv6Us+8xIxbH64C8qHoNNIrIUrYEmdjvQp4+1buE5ncCcOZ7L5szxDMhk6iOn9kHVu9dmpeCkrN1StvrgLyoeg00ishStfnBCFAUxVkkvo5dX87XXlP/LFtDotUi7y8oypyxGcjqBgQM9B3Y9/rj856M/ZalvKmljsElEluM+0GTu3LKVXuaDD5SgTG+2mnCl1frlbcyY8K5DILR+JLhc8iTfLynvkfhW7X9L2hhsEpElqf3gOna05i28jh31n1u8WL4+ct6tX2oKJ3fhXgfyz+p9U0kfg00isrSlSz1bkux2a9zCcziU1kotUVFyBtjurV+//CJnHYrTsaNvIC1T8v2SkKnvMBmDwSYRWZbWoBMhgJYtQ1em0vTii9otgC+8oIxUl7GPnNr61batNfv5ORxKGic1kJYt+X6wZOs7TMYwJc/mxx9/jPj4eNx6660AgFGjRiEtLQ3NmzfHvHnzUK9ePaOLYCrm6SIKDxkZykXOm92uBDIy9xtzOpVBNRs3KlNzet82j4hQ+gGePi13/kar5qC0ar3cyZRfU8XrtzFMadmcMGECoqOjAQCZmZmYMWMGJk+ejPj4eAwbNsyMIhBRGaQ36ESGATP+uLcWjR6tjG72VlCgBJqy95Gzaj8/q9bLHfNrksqUYDMnJwcN/7+jzddff4377rsPjz/+OFJTU/Hzzz+bUQQiKoPUQSdaAaesFz2tOdFnztReNybGvHKRf/76LVq1TyPza5LKlGAzNjYWx44dAwAsW7YMN954IwAgKioKZ8+eNaMIRFRGpaQA69ZZ56KnNye6ltOnjS8PFc9fv0Ur92lkfk1SlTNjIz169MBjjz2GVq1aYceOHYV9N7ds2YKkpCQzikBEZZg62GTQIKVFMyICkK0Hj9pHMzZWCZzdA0w1kPbuGydjMG01Wi3RgwYBycnK33rPWSUgS0lRBuStXg1cd53yWaSyx5SWzXfeeQcdOnTAkSNHsGjRIlSvXh0AsHHjRvTt29eMIhBRGaem1RkxQrmov/66PC1J7q1f7dv7jjRPS7N+C5Kst5r99Vu0cp9G9XhNmaKcs8OHK//K8Hmj0mfKaPR9+/bB4XDA7nUfSwiBnJwcJCYmGl0EU3E0G1F4knF0rF6ZtUaaW3WEc3p6UQugbJkE/J1zgHznYyDcj5e3cK8fr9/GMKVls379+jh69KjP8n/++Qf169c3owhERFK2JOmVWWukuRVHOGdl+c4lLlMmAX/9Fq3Yp9G724C3cP+8kTFM6bOp13h66tQpREVFmVEEIqLC0bEy9W2UscylRW0h05vbXpagLCVF6Yfp3uqs9sFNTlZa+qzSIq3148hdWTl3yZOhwebw4cMBADabDS+99BIqVqxY+FxBQQF++eUXXH311UYWgYiokNqS5H5LNtxbktQyuw9uCvcylwZ/LWQyBixqSyagBNEDBypBtM2mpK6SpVtAcbR+HKnKyrlLvgwNNjdv3gxAadn87bffUKFChcLnKlSogKuuugojRowwsghERB6OH/dtKQt3Wi1jVqfXQibDDwR/nM6iQBNQ/h040Doj0B0OpT4ffOD73IwZ1gmqKTiGBpsZGRkAgEcffRTTp09nZ1siMp16u7JRI2DePGDUqKLnZEo1494ypse9ruFen+JotZDZ7UrO1LZt5a3r2rW+P3aEUAZ89eoVmjKVtm7dtIPN/09EQ2WQKQOEZs+eXRhoOp1O7N+/34zNFnr33XdRv359REVFoXXr1n5nLVq5ciVsNpvP448//jCxxERUGtxTBiUmegaaKqsMWLBacnCtwTNpaUqgabW6Wo3WuF+bDejQwfyyUHgwJdh0uVwYN24c4uLiUK9ePSQmJqJKlSp49dVX4fLXk7gUzJ8/H0OHDsULL7yAzZs3o3Pnzrj55puxb98+v6/bvn07Dh48WPho1KiRoeUkotLl3edP79a53S5f/z9vWVnaycFlGbGtR82NmpGh/JuSop8kXZa6duyoBF7u7HbrBGLp6Uo+TXd2u9IvVaYWaCpdpgSbL7zwAmbMmIGJEydi8+bN2LRpEyZMmIC3334b//73vw3d9tSpU5GSkoLHHnsMzZo1w7Rp01C3bl289957fl9Xs2ZN1K5du/ARof68JiIpFDcqVtW5s/FlMVJ6OtCunXwpnQLlnc5JxvRV7hwOJfDybrG1QiCmNahL7frAvpplmynB5scff4xZs2bhySefRMuWLXHVVVfhqaeewsyZM/HRRx8Ztt3z589j48aN6Nmzp8fynj17Yu3atX5f26pVK9SpUwfdu3cv7HuqJz8/H3l5eR4PIgottc9fcVatUm6xy3grVr24a7XayjZiO9AZgrSOq2x1VVtsFywA5s4tmrpSdlo/BFwupZ5UtpkSbP7zzz9o2rSpz/KmTZvin3/+MWy7R48eRUFBAWrVquWxvFatWjh06JDma+rUqYO0tDQsWrQIX375JZo0aYLu3bvjp59+0t1Oamoq4uLiCh9169Yt1XoQUfC8+/z5I4Rct2JVVhmxHUwfTCskQnc6genTgT59lIdV+p3Gxmovf+MN+T5bVLpMma6yXbt2aNeuHd566y2P5c8++yyysrKwbt06Q7Z74MABXHbZZVi7di06uHWIGT9+PD755JOAB/3cfvvtsNls+OabbzSfz8/PR35+fuHfeXl5qFu3Lqe7IgoDTiewcKEyN3NxMjKUW7ay0JoK0X3EtgxKOoVoVhawejVw3XVy1XX6dGDqVN8fCeE+jWMgMjKUHwx6z8nw2eJ0lcYwZQahyZMn49Zbb8UPP/yADh06wGazYe3atcjJycGSJUsM2258fDwiIiJ8WjEPHz7s09rpT/v27fHpp5/qPh8ZGYnIyMgSl5OIjONwKCllnnvOf35N2W7FAvoJ32UKvhYs0O+DqRd4yTBXundqJvdE7lpkmxVJi17LphUG4dGlMeU2epcuXbBjxw7cfffdOHHiBP755x/cc8892L59Ozob2Du/QoUKaN26NZYvX+6xfPny5ejYsWPA77N582bUqVOntItHRCGmjgq224HUVDkv9FojtmWg3jp/7jnf5/wF/jKMRvfuFvD66/p9a1Uy/tjxptc3c/hwOT9bVHpMadkEgISEBIwfP96szRUaPnw4+vXrhzZt2qBDhw5IS0vDvn378MQTTwAAxowZg/3792POnDkAgGnTpiEpKQlXXHEFzp8/j08//RSLFi3CokWLTC87EZWOnTu1L/SDBimtYi4X8PzzQLVq8gRr7gJJ+B5OipuK0l8fTH+j0cNhH2gFw6NH+8+MIFsfWy1Op9I9wJvNBgwZYn55KLyYFmyeOHEC6enp2LZtG2w2G5o3b44BAwYgLi7O0O326dMHx44dw7hx43Dw4EFceeWVWLJkCerVqwcAOHjwoEfOzfPnz2PEiBHYv38/oqOjccUVV+C7777DLbfcYmg5icg4erPRfPBBURAq02xCstMb2PTmm8B99/nf/1rHMpxaBfVGZNtsvj947Hal1W/IEPnPOb1j+txz8teNLp0pA4Q2bNiA5ORkREdH49prr4UQAhs2bMDZs2exbNkyXHPNNUYXwVTsYEwUfrz7zGld/AF5BjLIrKSDglTp6b79VMOlRVqvbqmpwJgxSpmtFGSqnE4lhZj7Z8pmA/btk6uOvH4bw5Rgs3PnzmjYsCFmzpyJcuWUxtSLFy/isccew65du/ymFZIRT1ai8KMVBHiT8eIoq0sNGJ1O5dZ5w4bhd7z06hbOZb5UDDbJH1OCzejoaGzevNkn1+bWrVvRpk0bnDlzxugimIonK1F4UUc9aw1GcSfjxVFmVg++rFo3LXppj0aMAKZMMb88JcXrtzFMGY1euXJlzbnIc3JyUKlSJTOKQERllL9Rz96EADIzjS8TKbynorQSK9dNi17ao6lTwytTAIWGKcFmnz59kJKSgvnz5yMnJwdOpxOff/45HnvsMfTt29eMIhBRGeRv1LOeY8eMKw8FLtDpK2VkxbqdOqW93OWSZ956Mo4po9Fff/112Gw2PPzww7h48SIAoHz58njyyScxceJEM4pARGWQ3ghZf6pXN6YsFDgZkraXhDqD0BtvKK3oVqpbo0bay8MpUwCFjuF9NgsKCrB69Wq0aNECUVFR+OuvvyCEQMOGDVGxYkUjNx0y7PNBFB4CGRTkLSen7Nz6DEeXOlI9XLkH0O7sdmDvXrnrBiiJ60eO9F0+ZYrSb1MWvH4bw/Db6BEREUhOTkZubi4qVqyIFi1aoGXLlpYNNIkofKjTOUZEeC6PiFDyOaozCAHK/2fNkvuiH463Z4Mtk7+k7bLy153D5VJaO2XmdAKjRmk/9/8pramMM6XPZosWLbBr1y4zNkVE5MF9Osf165V/J04EvvxSuZVpsylpan75BWjQILwCtWB4T5GYnh7qEpWsTGrSdney34otrjvHm2/Ke94B+jN0EalMSX20bNkyjB49Gq+++ipat26NmJgYj+et1lTNZnii8OR0At9+Czz9tG8+QJtN3j6C4Xjr+VLKFM5J20sikO4cMk8moFc/GVOJ8fptDFNaNm+66Sb873//wx133AGHw4GqVauiatWqqFKlCqpWrWpGEYiojEtPV5JOP/WUbyuMEJ5zWQ8aJFdLUzjeer6UMrm3Ru/ZI3egCeh351DJ3nKr1s+9RdpmA2bOlCvQJOOYMho9IyPDjM0QEWlS+8wFeh9HDYocDuW1O3cqt3fD9cIZjvOFX2qZHI7w3d8lkZICJCcr51VWVtHUlWrLrex1Veun5qnt0EH+OlHpMSXY7NKlixmbISIDyRB06Qk2BZIaFMmSgkdtWfK+9RzK4xSOZQoV989O167Ko29fa80wpNaRQSZpMaXPZlnDPh9kNbIEXXqCSYGkBkXJyeHXD7I44ThFYjiWyUyyf3aK43QCr72mfGaAotvnstaR129jMNg0AE9WspJwHHxSEnp5DlU2GzB/flHLjN5czzIP5CBz6X12MjOVGXdkvEvgLj0dGDjQt3uKjAODVLx+G8OUAUJEJK9wHHxSEikpSvLsBQuUW7veOTZnzgR69Sq6QFoxBQ+ZS++z0759eKWoKgl//aCFABYvNr9MFL4MCza/+eYbXLhwwai3JyKTaAVdgDLIQTYOhxJQvv++0vKyYIHy2LfP97af9wjistznkEpG77Mjc+YDVXH9oA8dMq8sFP4Mu40eERGBQ4cOoUaNGoiIiMDBgwdRs2ZNIzYVdtgMT1ajNRWdjLfSS6Ks9zmkS+OeM1SPjF0znE4llZheBLF+PdC2rbllKg28fhvDsJbNGjVqYN26dQAAIQRs7vesiEgqrVv7LpPxVjqgXCTVFs1AWpQcDiUQYKBJJeWvBVDWrhkOB/Dcc9rPJSfLGWiScQwLNp944gnceeediIiIgM1mQ+3atREREaH5IKLwZpX+i2pi9z59lEdiorx95sq6cJwH3lsg+V2HDZP3h8yQIb7fC3Y7MGtWaMpD4cuwPJtjx47F/fffjz///BN33HEHZs+ejSpVqhi1OSIykBVyJjqdviNnhVDqlJwsV13KOlnSCRXXr9FuVwI2WS1d6vl5Uo8FP0vkzZTUR6+88gpGjhyJihUrGr2psMA+H2RVMvdf1EtlpD7XtavcievLCplScfnL7yr7nO9adbPblYwP4XYcgsHrtzFMSX308ssvo2LFijhy5AhWr16NNWvW4MiRI2ZsmohKkcOhBJo7d4b37UstjRp5pjtSuc8WVK+e/ClprE6mVFxaGQ0mT7bGnO9ax8HlCs/jQKFnSrB55swZDBgwAAkJCbj++uvRuXNnJCQkICUlBWfOnDGjCERUCmQOyBwOJZeme8BptxfNfOKe8F3mlDRWJ1v/4ZQUJbBUA8yRI60x4Ezvx9uGDeaXhcKfKcHmsGHDsGrVKnzzzTc4ceIETpw4gf/85z9YtWoVntMbzkZEYUXt8yhzQJaS4plfc+9eZZlMrWVlnYz5T8tSRoORI+X6TiBzGDZAyN2iRYvwxRdfoKtbIrFbbrkF0dHR6N27N9577z0zikFEl2D6dN9RtWpAJtNFVE3s7k5tLfPuBxiurWVlXUqKMqhL1v7DVrBzp/4o+8xM388YlW2m3UavVauWz/KaNWvyNjqRBJxOYOpU3+V2uzUCMhlby8o6GVsLZUjXFCi92+hEWkwJNjt06ICXX34Z586dK1x29uxZvPLKK+jQoYMZRSCiS6CXwmX4cLku9v54962TefAGhR+Z+ztrcTiUwU7e7HaAl3XyZspt9OnTp+Omm26Cw+HAVVddBZvNhuzsbERFRWHp0qVmFIGILoHebWaZcwRqcTisEzxT+FCTu3v3d5Y9v2vVqp5/22zMs0naTAk2r7zySuzcuROffvop/vjjDwghcP/99+PBBx9EdHS0GUUgoktghaTuRKHibwCarJ8hdcCgt+Rk88tC4c+UYBMAoqOjMVDrzCQiKVhxUIbTCaxdq/y/Y0dr1InCjxUHoL32mu8AISE4OIi0mdJnk4isQR2UAcg50MF9gAbnSSezWG0AmtOp1IcoUKa1bBKRNcgyL7U393IDSv8y73nSBw4EWrYE2rYNTRnJuqx0Z8Bf2qOkJFOLQpJgyyYRBUxvoEO4t3B6lxvQvlgKAbRvzxZOMoaM6Zq0bNyo/9zp0+aVg+TBYJOIAibrTDt6qZu0yBJAU/izUl5NldMJjB6t/Zzs/VDJOKYEmw0aNMCxY8d8lp84cQINGjQwowhEVApkm5dapVVuf2QIoCm8WS2vpsrfD7dhw+RvtSVjmBJs7tmzBwUFBT7L8/PzsX//fjOKQESlQNaBDmq59QJO75lQZAigg2HFFrZwJmt3k0Do/XCz2ayXd5dKj6EDhL755pvC/y9duhRxcXGFfxcUFODHH39EEnsTE0lF1oEOarmnTwfefNMzXyhg3Ryisg7okpkV82qq1B9u3n2gJ02Sv25kHJsQemPKLp3dz32r8uXLIykpCW+88QZuu+02o4oQEnl5eYiLi0Nubi4qV64c6uIQlTqnU7mgNmok5wXG6fQNlrWWyc7pVG7heud33LPHOnUMR2VhvzudwPjxyg8zIazzQ4bXb2MYehvd5XLB5XKhXr16OHLkSOHfLpcL+fn52L59u+UCTSKrs0JfNK1RwVYZKexO1gFdsnM4gH79PJc99JC1zi1ACS7V5iordRWg0md4n80LFy4gKSlJc4AQEcnFyn3RrEjWAV2yczqBTz7xXPbpp9b6nPCHDAXD8GCzfPny+P3332Hz7oFPRNLhBUYusg7okl1Z+JzwhwwFw5TR6A8//DDSZbzXRkQeeIGRT0qK0lcwI0P5V/Y+dTIoC58T/pChYJgyXeX58+cxa9YsLF++HG3atEFMTIzH81OnTjWjGER0idS+aB9/XLTMin3RrMbh4DEykxqIWTXDgUrWzBRkPkNHo6tuuOEG/QLYbFixYoXRRTAVR7ORVZWFUbZEwdLLzmDFDAdWx+u3MUxp2czIyDBjM0RkMCvnDyQqCX95TNmiTKTg3OhEFLCy0BeNKFDMzkAUGFNaNgEgKysLCxcuxL59+3D+/HmP57788kuzikFEl6Cs9EUjCgRb+okCY0rL5ueff45OnTph69at+Oqrr3DhwgVs3boVK1as8JjCkojCH0c3EynY0k8UGFOCzQkTJuDNN9/E4sWLUaFCBUyfPh3btm1D7969kZiYaEYRiKgUWXG2HaJgMf0PUWBMGY0eExODLVu2ICkpCfHx8cjIyECLFi2wbds2dOvWDQcPHjS6CKbiaDYiorKDo86tg9dvY5jSslmtWjWcPHkSAHDZZZfh999/BwCcOHECZ86cMaMIREREhmBLP5F/pgwQ6ty5M5YvX44WLVqgd+/eGDJkCFasWIHly5eje/fuZhSBiEqZXm5BIiIid6a0bM6YMQP3338/AGDMmDEYMWIE/v77b9xzzz2mTGP57rvvon79+oiKikLr1q3x888/+11/1apVaN26NaKiotCgQQO8//77hpcxIBs2AN26Kf/KSvY6yF5+oFTqkJ6uJHfv1k351/TZaGU/DrKXH5C/DrKXH2AdSBqm9NkMpfnz56Nfv35499130alTJ3zwwQeYNWsWtm7dqjk4affu3bjyyisxcOBADBo0CGvWrMFTTz2FefPm4d577w1om0b1+bDZzgKoAOA8hIgutfc1k8x1SEkBPvzwPID/Hw2ACFxxBfD99+HRspeVBXz2GXDyJHDhgvLdffAgcOpUUXqWiAjAduEcCiBQ3i4QEV0RFSoAVasqo2qjooC6dYHevYGzZ5X3qFQJuPFGICZGacUEgMREwP2bw24H1q1TttWoEZCdDSxZAlx7LVCxInDsGFC9OlC/flG5rr1WWWfZMqByZaBHDyApCTh+HDh8GGjSBGjTBli+HPj5Z6BKFeD665Vlsx9dhYwt1dE46SJeXHA16tQB1q5VtgMo2+rYUfu4OJ3At98CGzcCsbFK3X79Vfm7dWvg4YeV9dRWW0B5b0B5z4MHldfXqQPcfrv/Y6/V+ut0AmsHfgh8/z06PtoUjg/HISsLeP994MABZR/FxyvvXaeO8vrYWGXfev+rvq/7drzL6/786dPAjh1A48ZFx1N9Xn1N/fqe7714MbBggVKW1q3d9uvgwcDbbyv/Tp9e+B56xyArSzmOnTsDbdv67h/3fe5eZr06e7+nuq/0Wtp99tH/H4P6va/F7ntHFJ6j3ueN+77RO6e8t+O+vnu91P9r1aW4faHu2+PHgXPnlPOj7SeDkfV2Jn6+bgwaj77H45hqvee33xbFdJdfrvQxdf9MNmgA/POP7/nh/l7+joe7rCxle/n5yiMyUin/kSPKIzISaNYMiN/wXzTImoe5jtHYfO4KnD6tfH/FxyvbyM9Xjss11yjbj4pS/q5VC3jwwaJzqbSwz6ZBhEkuXrwoFi5cKMaNGydeffVV8cUXX4gLFy4Yvt1rr71WPPHEEx7LmjZtKp5//nnN9UeNGiWaNm3qsWzQoEGiffv2AW8zNzdXABC5ubnBF9jbnj1CbNgggAIBuIRyiXcJoECIDRuU58Od7HXYs0eUi3Avu/fDJWbNCm0R+/fXKlfpP+x2IZKTtZ+z2cwpg+9xcGkeG5tN+ByXWbMC24Zal0DqpHfsZ81S9pe632ZNOipmvbhb2GxFZbWhQHRsedLPuVX88ejfv2g73uW12Tyf13u9Vj3tdiEuv1xr37jErH/vEaJmTWVBzZpi1r/3eNTL+xh4n5/9+3vuH5utqAzeddIql9Z7ej+vdyyUcrqX1aVZZvV17vtG65zy3o7WMfCuo3dZi9sX2uehS1xu/0t4fqcKYbe7NN+zpOeX93sFsr+D/z4q2fmvnkulqVSv31QIZmzkt99+Ew0aNBAVK1YUrVq1Eq1atRIxMTEiKSlJ/Prrr4ZtNz8/X0RERIgvv/zSY/ngwYPF9ddfr/mazp07i8GDB3ss+/LLL0W5cuXE+fPnNV9z7tw5kZubW/jIyckpvZMVEMAZjQ+jSwBnlD/CneR1GID3AvoyzMkJTfnWry/Zl3RZeEREFB2XnBxjtmG3+x77nBzfi7MdF4QNFzXeo+QX2pDtV1wQOXAIAYgcOHTqpTz0Ah294CWQR3HBk/dxD3ZbdrvyudJ6ndbxLul21Pcr+b7QPnciIkrvx18g5XPf36H4Plq/vvS+TxlsGsOUPpuPPfYYrrjiCjidTmzatAmbNm1CTk4OWrZsiccff9yw7R49ehQFBQWoVauWx/JatWrh0KFDmq85dOiQ5voXL17E0aNHNV+TmpqKuLi4wkfdunVLpwIA8OmnUG4727yesCnLP/209LZlFMnr8F3lfvAtu68//zS+LFqK6YJcpqmzuQDKLTgjuFy+x15rZhkXykEUdsFwV/y5FW4KUA5/4nIAwE401KmXQgjt5d77Jxh676nyPu7BbsvlAlav1n6d1vEu6XbU9yv5vtA+dwoKit9HgQqkfO77OxTfR2vWmL9NCo4pweb//vc/pKamomrVqoXLqlativHjxyM7O9vw7dtsnh9IIYTPsuLW11quGjNmDHJzcwsfOTk5l1hiNw8+COA8AO9vDqEsf/DB0tuWUSSvw633xcC37L5CNWtI586h2a4M3GdzUfutlTa73ffYa80sY7cDNs3zqJSiAhNF4CIaQokuGmEnbCjQXVfvq9Z7/wTDz9c3AN/jHuy27Hbguuu0X6d1vEu6HfX9Sr4vtM+diIji91GgAimf+/4OxfdRp07mb5OCY0qw2aRJE/z9998+yw8fPoyGBl6h4+PjERER4dOKefjwYZ/WS1Xt2rU11y9XrhyqV6+u+ZrIyEhUrlzZ41GaxMZtUL5U1C8W5f/KcjnIXIf0dKBchHvZfc2aFbpBQm3bAv37m7OtiAggOVn7udK6uBVP60eL77Gx2z1nc3E4lOMUCLUuNpv/etlsygwy3sdea2aZtDRg5r/3eQRmdhSgI9Zolt+9HHoiIpRjr27Hu7x2u+fzeq/X2k5EhDKIxJvdJvABBsFhVybjcNgPYiYeh83mWwebDZg50/f87N/fc//YbEUBjXedtMql9Z7uz3sfd/dt2W0CgHtTnWe51WPatq3yr3ugpXe83bej9SND/dd7P6vnhUf53NZT94V2sCdwOf6E53dqUf1nzvTcvyWhVT6tddz3d8m+j0r+g6t//9IfJESlz5TR6EuWLMGoUaMwduxYtG/fHgCwbt06jBs3DhMnTsR1111XuG5pB2rt2rVD69at8e677xYua968Oe68806kpqb6rD969Gh8++232Lp1a+GyJ598EtnZ2cjMzAxom6U+ms3pBNq2he3QLhSO5K7dQBnuFw7DoAMhex2cTqQ0zMCH+X0At1uGVzQ+j+9/jA6LKmRlAfPmKaPR8/OBTZuA/fuLRqPbRAEixDkANghbOZQT5xGBi6hQtSKqVa9QOBrd4QB69VJGvG7cqIxG79ZNGRmq/jbUG41++rSyTna2Mkq/TRtlVKs60jcpSXnPQ4eU59TR6FWqKKPC1dHoR44oI2JbtwZ++EG5pRkXB1zf4h+0fv0BzLY/ipURN6Lx2V/xQrlJqPP9bGTuqeMxErpDB/1RyYsXe9btt9+U/XXNNUC/fsp66owwAKB+9Dt0UEbtfvcdULs2cNttxY9G95hZxumE85o7kFmpJ9C9Ozqsnw7H3xuRNTMbaf+phQMHlFRSNWsCt96qjLD+809lH54+7fuv+r7u2/Eur/vzp04VraceT/V59TVJSZ7vvXgx8MUXSn1btwY6JB2E445rlLQFKSnKr7GcHDi/2eT3GGRlKbc7O3XyHI3uXm73faU+p1dn7/dU95XeLD6F24o5CNx6a+ExSFr9KfYcqIBjoyehesNqPueN+77RO6e8t+O+vnu91P9r1aW4fZGZWTQaPf9ILm79uA/aXv4Psro/jzWf7UHDk5sQm/YmGnaoofue6nkPKCPPGzb0/EwmJQEnTvieH+7v5e94uMvKUj4n584B588DFSoUjUY/ehSo4DqLppvnoWa1i0i6sRHmflkBm081xOmoqrhwsQLi45XP57lzRaPR//pLeZ/4eOV87NuXo9FlYUqwaXf7Wabeiva+Na3e2i4o0L8dUxJq6qP3338fHTp0QFpaGmbOnIktW7agXr16GDNmDPbv3485c+YAKEp9NGjQIAwcOBCZmZl44oknQp/6KD9f+ZTZbMpV/vx5JXeETGSvg+zlB0qtDunpwKBBSl8ttWUjJcWA8mqR/TjIXn5A/jrIXn6AdTAIg01jmDKDUEZGhhmb0dSnTx8cO3YM48aNw8GDB3HllVdiyZIlqFevHgDg4MGD2LdvX+H69evXx5IlSzBs2DC88847SEhIwFtvvRVwoGkY9w+gzRbyD2SJyF4H2csPlFodUlKU2+khmQ9a9uMge/kB+esge/kB1oGkYvmk7qHAX0ZERETy4fXbGKYMECIiIrIqpxPIyFD+JSJfDDaJiIhKKD1dGdTVrZvyb3p6qEtEFH4YbBJR0NiSQ6Sc/48/XpT03OVSBs7xc0HkicEmEQWFLTlECq1Zg9xn0yEihSnB5tixY7F3714zNkVEBmJLDlERrVmD3GfTISKFKcHmt99+i8svvxzdu3fH3Llzce7cOTM2S0SljC05REW0Zopyn02H3U2IFKYEmxs3bsSmTZvQsmVLDBs2DHXq1MGTTz6JrKwsMzZPRKWELTlEnlJSgD17lKByz56iyQ3Y3YSoiGl9Nlu2bIk333wT+/fvx4cffoj9+/ejU6dOaNGiBaZPn47c3FyzikJEJeRwFE3nqHroITlmHCUyisMBdO3q2aJZVrqbsPWWAmH6ACGXy4Xz588jPz8fQghUq1YN7733HurWrYv58+ebXRwiCoLTCXzyieeyTz/lhSbcMSAwV1npbsLWWwqUacHmxo0b8cwzz6BOnToYNmwYWrVqhW3btmHVqlX4448/8PLLL2Pw4MFmFYeISqCsXESthAGB+cpCd5Oy1HpLl86UYLNly5Zo3749du/ejfT0dOTk5GDixIlo6PbJe/jhh3HkyBEzikNEJVQWLqJWwoAgNIobOGQF/OFJwTAl2OzVqxf27NmD7777DnfddRci1E+gmxo1asDlfeYSUVgpCxdRK2FAEFruQb7V8IcnBcPwYPPChQuYPXs2BwARWYTe6FuZaPVhtGK/RgYEoaG2KAuh/C2ENVuUBw4sOr/4w5P8MTzYLF++PPLz82Gz2YzeFBGZSL2QysTpBEaOLOrDmJioBAFPPGHNfo1siQ4Nq7cop6crn50PPiiqZ2qqnD88yRw2IYy/ZEycOBF//PEHZs2ahXLlyhm9uZDLy8tDXFwccnNzUbly5VAXh6hUpacX9QO025VgRoaLTHq60hITyDdeRITSamuVoMzpVAKdhg2tU6dw5nQqP1rcA06rnFNadQMAmw3Yt0/++vH6bQxTgs27774bP/74I2JjY9GiRQvExMR4PP/ll18aXQRT8WQlq5L1Iqp3gfQnI0PJnUhUEunpSqt5QUFRi7IMP8qKk5Gh3AHQMmIEMGWKueUpbbx+G8OUZsYqVarg3nvvNWNTRGQgf7cHwznY1Cq3P+zXSJcqJQVITrZei7LaD1jr8/Tmm8CQIdapK5UeU4LN2bNnm7EZIjKY1oVGhsDM3wXSG/s1UmlxOKx3HjkcwKRJSt9nbzL88KTQMH0GISKSl6wDTrzLbbcrrU7e4xZHjJB3hD2FP6tkPGjdWv+5U6fMKwfJw7TROl988QUWLFiAffv24fz58x7Pbdq0yaxiENElkvX2oFa5nU4gM1N5vkMHeepC8pF1YJ2WRo2UH2paIz6sMuKeSpcpLZtvvfUWHn30UdSsWRObN2/Gtddei+rVq2PXrl24+eabzSgCEZUCtWUGUAbPyBacORye5XY4gF69lIdsdSF5WG0mJ4cD+Ne/tJ/r1MncspAcTAk23333XaSlpWHGjBmoUKECRo0aheXLl2Pw4MFM9k4kCc6xTVQyVsy7+dprwH33eS677z6gbdvQlIfCmynB5r59+9CxY0cAQHR0NE6ePAkA6NevH+bNm2dGEYjoElitZYbITFadyWnhQuDZZ4v+/vJL/gglbaYEm7Vr18axY8cAAPXq1cO6desAALt374YJaT6J6BLptcxMnx6a8hjFKgM4KLzIOrCuOK+/Drz9dtHfLpfyo5SfH/JmSrDZrVs3fPvttwCAlJQUDBs2DD169ECfPn1w9913m1EEIroEWi0zADB1qnUuLOwmQEZKSVEyHWRkWCPjgdMJjBrlu9zlKhp0R6QyZQYhl8sFl8tVOFXlggULsHr1ajRs2BBPPPEEKlSoYHQRTMUZCMiKRo5UWjK8yTbTjtMJrF2r/L9jx6JR6TLOjFSWOZ1Ki3ujRjxGoeBvJqEFC5RBdzLi9dsYpgSbZQ1PVrIipxNITPRMdyJbQOY9P7rNBsycCTRooH3hlC2QLiuslEZIVlrfB6qcHHm+E7zx+m0M0/JsnjhxAuvXr8fhw4fh8ur89fDDD5tVDCIqIYdDCcy853uW5aLidHoGmoDy/0GDlNt+Ms6MVBbpDVZLTg7fc7EstcJOmWL9OlLwTAk2v/32Wzz44IM4ffo0KlWqBJvbtB02m43BJpEkZE3oDigXe61WmIIC4PRppXVM1kC6LPGXRigcj5d3K+zEiUCbNvIHnnqfpzZtzC8LhT9TbqM3btwYt9xyCyZMmICKFSsavbmQYzM8WZXMLTR6t/3cuwI4nXIG0mWJTP1rtcqqkv32v17dpkxRpn2VFa/fxjBlNPr+/fsxePDgMhFoElmV7KO11W4A7vOh2+2eLZjeMwxR+JEpjZBWK6xK9jRBDofSSuvt+eflrRMZx5RgMzk5GRs2bDBjU0RkAKskdU9JAfbtU0bLLlgA7N0rb8tSWSZLGiG9lGEql0vuXLWHD/suk31mJDKGKbfR09PTMW7cODz66KNo0aIFypcv7/H8HXfcYXQRTMVmeLIavTQnHK1N5J97n00t4doFoDj+RqPfd58yu5CMeP02hikDhAYOHAgAGDdunM9zNpsNBQUFZhSDiEpo40bfZWVltLbM/VQp/IXz4CZ/9AYIAcAXXwBZWZwnnYqYchtdTequ9WCgSRTenE5g9Gjf5amp8l0g3TmdRbfT9boDyN5PlULLu/uJFll/tBXXReC778wrC4U/U4JNIpKX3iAHGVst1ADziSeUW4B9+iiPxETfQNIq/VQpdPQ+O2qQFs6Dm4rjcACTJuk/X7u2eWWh8GfYbfS33noLjz/+OKKiovDWW2/5XXfw4MFGFYOILpHagiF7wnPv2YPcCaE8V6lS0RSWsuVzpPCj99nJzFRyu8qeYmvECOD4cWDCBM/lNhtw222hKROFJ8MGCNWvXx8bNmxA9erVUb9+ff0C2GzYtWuXEUUIGXYwJqtJT/dNeB6uI4C1+Mt36E3Nf5icLE8+R1U49i8NxzKZSfbPTiBefx0YNUr50SZ7/lBev43BudENwJOVrEjmhOd6o+n1qEHl0qXyBArhOF94OJYpFLQ+O1YLwmX+fnDH67cxGGwagCcrUXgJpmVTpaZ1kuEiGo6z6oRjmUJNDTB//FEZYGe1INzpBNauVf6vdkeRDa/fxjAl9dHw4cM1l9tsNkRFRaFhw4a48847Ua1aNTOKQ0RljDrrTHEjg1XufVIdjvC/aIZj/9JLLZPVWv708m2qA8+Sk+Wup3efaJtNmbHLCkE0XTpTWjZvuOEGbNq0CQUFBWjSpAmEENi5cyciIiLQtGlTbN++HTabDatXr0bz5s2NLo7h+MuIKDw5ncDixcBTT3kOFLLZlBYmGW6XawnHVsRLKZPVbr8H0rIu8wQJevWz2ZQZu2QKonn9NoYpqY/uvPNO3HjjjThw4AA2btyITZs2Yf/+/ejRowf69u2L/fv34/rrr8ewYcPMKA4RlTFOp3IxP3gQaNIEmDy5aG5tu10JbDIzw3/6Qz3hOF94SctkxZRT/uZIB5RzULbsDu706ieE8rkiMqVl87LLLsPy5ct9Wi23bNmCnj17Yv/+/di0aRN69uyJo0ePGl0cw/GXEVH40Lp9abcD99wDLFrk2cI5a5Z8gaa7cOxfGmyZrDg1anEtm1OmKGmEZOVv6soFC4BevcwvU0nx+m0MU1o2c3NzcfjwYZ/lR44cQV5eHgCgSpUqOH/+vBnFIaIyQm8GF5dLmVLP++L42GNyt6A5HEpAFi6BJhB8mbRmppExr6s771Zeld2utLLLHGgCSv0mT9Z+bu9ec8tC4cm02+gDBgzAV199BafTif379+Orr75CSkoK7rrrLgDA+vXr0bhxYzOKQ0RlRHG3L7Xwtl9ohWOXgNKQkqJ00cjIANavV/7duxcYOTLUJSsd99+vvfz55+X+AUelw5TR6B988AGGDRuG+++/HxcvXlQ2XK4c+vfvjzfffBMA0LRpU8yaNcuM4hBRGaE1g0txjh0zrjwUmJQUZXR2uHUJuFQyZDYoqZ07tZeHOisChQdT82yeOnUKu3btghACl19+OWJjY83atKnY54MofLjP4BII2fqYEYWDrCzg2mt9l9vtSguuLMEmr9/GMOU2uio2NhYtW7bEVVddZdlAk4jCi3r7curUwNZPSjKyNOROzRJgxdusVq6bllOntJcPHy5PoEnGMeU2OgBkZWVh4cKF2Ldvn89AoC+//NKsYhBRGeRwAP/fg6dYp08bWxZSXGouzXBO+q5XN7XMsbFKcBaOZS+pRo2UvJre+WuHDAldmSh8mNKy+fnnn6NTp07YunUrvvrqK1y4cAFbt27FihUrEBcXZ0YRiKgMczqVgQrFkX3UsywuNZdmerqSSqhbN+Xf9HTjyhosvbpNmVJU5muvDc+yExnFlGBzwoQJePPNN7F48WJUqFAB06dPx7Zt29C7d28kJiYatt3jx4+jX79+iIuLQ1xcHPr164cTJ074fc0jjzwCm83m8Wjfvr1hZSQi4+mNSh8xwnqjnmWgN5XlwoXFB5zhnvRdr26jR2un4Hr8caW/o+x27vRNJSYE8NproSkPhRdTgs2//voLt956KwAgMjISp0+fhs1mw7Bhw5CWlmbYdh944AFkZ2fj+++/x/fff4/s7Gz069ev2NfddNNNOHjwYOFjyZIlhpWRiIynl7uxd29g7lxlUJCMMwfJSut4AEr/vuJa+/zNuR4OtOpmt2snPAeUurRrJ38Lp94x/eAD4PXXzS8PhRdTgs1q1arh5MmTAJTZhH7//XcAwIkTJ3DmzBlDtrlt2zZ8//33mDVrFjp06IAOHTpg5syZWLx4MbZv3+73tZGRkahdu3bho1q1aoaUkYjM4XAA3r8zL79cucj36aPkCFy6NDRlKw2yDUbRS3IOFN9SGe5J37XyhE6apB2IqYQIr9bZknA4gIEDtZ8bNUruutGlMyXY7Ny5M5YvXw4A6N27N4YMGYKBAweib9++6N69uyHbzMzMRFxcHNq1a1e4rH379oiLi8PatWv9vnblypWoWbMmGjdujIEDB2rOfuQuPz8feXl5Hg8iCh9OJ/DJJ57Lduwoam0Kt1uxwQjn/ov++MsS4K+lUoak7+4J3PfsUbpr6AXXqnBqnS0prWlGAeVzJnvd6NKYEmzOmDED9///9AJjxozBiBEj8Pfff+Oee+5BukHfjIcOHULNmjV9ltesWROHDh3Sfd3NN9+Mzz77DCtWrMAbb7yBrKwsdOvWDfn5+bqvSU1NLewXGhcXh7p165ZKHYjo0jmdym3y4hK7y3ix1+q/KFMfQIdDyWlakpZK9zqHI+9pOt0D0G+/VUZquwun1tmS6thRe7ndLn/d6BIJybz88ssCgN9HVlaWGD9+vGjcuLHP6xs2bChSU1MD3t6BAwdE+fLlxaJFi3TXOXfunMjNzS185OTkCAAiNze3RHUkotIxa5YQdrsQStuK/0dEhBA5OaEucXBWrNCui92u1F0Ws2Yp+189Dv7KnpPje0xlPHbB1FkWOTlC2Gy+5+PkyaEuWeByc3N5/TaAaXk2AeDw4cM4fPgwXF4/RVu2bBnwezzzzDOFraR6kpKS8Ouvv+Lvv//2ee7IkSOoVatWwNurU6cO6tWrh516c3FB6eMZGRkZ8HsSkfG8W/38sdvD71ZsIPSm41S7BSQny1GnYKan9DdASIa6qlq2BP71LyAhAbjtNrnKrkdrRDoAtG1rflkovJgSbG7cuBH9+/fHtm3bILzORJvNhoJA55EDEB8fj/j4+GLX69ChA3Jzc7F+/Xpc+/9zaP3yyy/Izc1FR722fg3Hjh1DTk4O6tSpE/BriCj09NIdeWvTBvjqKzkv9mr/Ra2gWrYALNB5w7UCbNluQT/yCPDxx0V/r1sHfPRRqEpTerSOjd0OxMSErkwUHkzps/noo4+icePGWLt2LXbt2oXdu3cXPnbt2mXINps1a4abbroJAwcOxLp167Bu3ToMHDgQt912G5o0aVK4XtOmTfHVV18BUOZuHzFiBDIzM7Fnzx6sXLkSt99+O+Lj43H33XcbUk4iMoZeKhZvmzcbXxYjpaQowUo4j9C+FN4j7WUYIORPVpZnoAkof8vSz9YfrSwDVkntRJfGlGBz9+7dmDx5Mtq1a4ekpCTUq1fP42GUzz77DC1atEDPnj3Rs2dPtGzZEp94DUndvn07cnNzAQARERH47bffcOedd6Jx48bo378/GjdujMzMTFSqVMmwchJR6dMKSnr29F1PxoFB3tq2lTsA0+M90n7kSCXo9B7tLVN+1J9/1l6+Zo255TBKSgqQmem5TAglLZKM2R6odNiE931tA9x1113o168f7r33XqM3FRby8vIQFxeH3NxcVK5cOdTFISrTnM6ivoCAErR434Lds0f+wAzwrKvs9XE6fY8VoIzinjlTrgDTXVaWMl2lt/XrrdO3ccECJX+t1vJevcwvTzB4/TaGKX02Z82ahf79++P333/HlVdeifLly3s8f8cdd5hRDCIqg7z7AqalKYNnCgrkagF0OpV+qI0a6Zc30H6PMtDrc6smQJdl8JO3tm2B/v09b6X372+dQBMAVqzQXn7smLnloPBhSrC5du1arF69Gv/97399ngt2gBAR0aUK9xyN3tLTiwYB2e1KwCxry16g9EbaA/INfgI8fyx89BHw9NPKrfNOnawVaDqdSsuzlqefBsqXt/65S75MuY2elJSE2267Df/+97+DSjskKzbDE4UnrVuz4X4bXcYyl5b09KJWaHey1b+4HwuBtFrLIiNDfyYhIPyPHa/fxjBlgNCxY8cwbNiwMhFoElH48pejMVwFU2bZ5kgvjjoQaMSIotH2MnV9ALRneXKfGlXW6Ub1FJcFItw/b2QMU4LNe+65BxkZGWZsiohIl9aFMNxTBOmVOSbGM7C0WtCicjiAKVOAvXvlHH3u78dCcYGojLTSH7kL988bGcOUPpuNGzfGmDFjsHr1arRo0cJngNDgwYPNKAYREYYPB6ZOVS7sMrSSqRdv90FNDz0EtG9fdFt24kTg+ed9gxZZB9FokXXwk78k9FaZDcmb+4xQWVnAmDHyDcij0mVKn8369evrF8BmMyyxe6iwzwdR+PHuNzd8ODBkiDwXPjWtUUxMUaCp0htIk5EBdO1qWhFJh3vfUzXgSkkpO/1xs7KA1auB664L/8FQvH4bw5Rgs6zhyUoUXrKyfAM0WS/qegMwbDbPeantduXWs2z1syq9HKh6gahVyJZJgddvYzDYNABPVqLwkZ6uzF6i9U0nY8ufXmuY94htmw3Yt4/BpgyslIzfnYwtt7x+G8OwPpvDhw/Hq6++ipiYGAwfPtzvulOnTjWqGERUhqkDMLQCTVkHKmj14XzsMaVFzJ0Q8vf9Kytk7Y9aHKv2SaXgGRZsbt68GRcuXCj8vx6bzWZUEYiojNObhcZul3uggvsAjB9+ACZM8F3HfcS6zPkbrZSD0p1V6+XO3+AoKlsMCzbdUx0x7RERhYLWxc5mA9atC/+BCsVxOIB584Dx432fs9t9R6yHe185LbL19wuUe9cO2ed690erFV7mH3lUcuyzaQD2+SAKH959Nq1ycXc6gcRE7S4CEyYAL74oV185ldriFxtrnUFd7rSOm9X718rUJ5XXb2OYktSdiChUkpOVi7lKCPkTZwNKQKbXVHDunHwzJQGeiemvvVbOOhRn7Vrf4yYEkJkZmvKYweFQBuKFe6BJxmGwSUSWpE7duHatNYOW2Fj95267Tb6Zkrxn09ES7nUg/6w2nSoFjsEmEVmOewtZ376eLZuANYKWU6e0l48YofRHdZ8yUIa+cnqDudylpoZ3HQLRsaPv+Wi3Ax06hKY8ZrHqdKoUGAabRGQpWvNNA0UtfTIEXoFo1Mg3aLHZlFmRAKVP6p498swnrjUHvDfZB3UBynk3c6bnD4G0NPnPR3+sOAc8BceUudGJiMyi1UKm9tPs00eOQQol5R18ypS/UR25rHcr3Qqt0Sr31FVWPh9VzLdJbNkkIkvRavEDlNYkK13YtQYIuVxy90VNSVGm2BwxwvMYyp4XVYv7oBmr92XUarW20o8HKh6DTSKyFIcDeO453+VWGBTkTu8CriZylzlwueUW4JdfgAULlMfeveHfDaCkykJfRrXVWqY+xFS6mGfTAMzTRRRaMs7JXBLp6Z4Jsx96CJgzR95k4VZN4u7OfeYgoGycpyoZ8m3y+m0MtmwSkeWoLSnuLX8uF7B0aejKZAT3QUCZmUWBJqD8O3CgPC2cZWEQiXcr5vTp1kzLpYf5NssuBptEZEnJyZ4XciGUYMZKwQtQdAHfvVvuZOH+BpFYgVYw/eab1kzLReSNwSYRWdLatb7LXC55gq+yxuqDSPSC6eeeY19Gsj4Gm0REFqCVLNxmkydZuMMB9OvnuezGG0NTFiPoBdNDhsiVD5WoJBhsEpElaQVfgDKymcKP0wl88onnsqVLgbp1rTFC29+IbPZlJKtjsElEluRwAJMm+S5//nnr9dsEtPNuCiFPn0d/01XKNNDJH3VA14IFwNy5Sr9ib1bPuUllE4NNIrKsNm18l1lp0Ik72fs8btig/5xMA52Ks3QpcP/9ymxW7nk1nU5g5EggMdHaOTepbGKwSUSWJXsApnI6ixKc67V4yZw42+lUWpwDWU/mVj+99E5TpijB5euvF7VOWzH1E5VdDDaJyLJkDsBU6elKa1efPsojMVFpAdMKQtzzbso02MTfLXRA+cGQnS1/q5/eiPTRo7Xrb9VWeCp7OIOQATgDAVF4kWHmEi1OpxJgaX1LyzhDkB6tGZ9UERHAPfcACxf6Lpdtph2tetps2scXkLOOsuP12xhs2SQiy5N1tK/WoB+VENa5zerdAq2y2ZRWv0WLfF8jY6ufVku73vG12eRrhSfSw5ZNA/CXEVHouc9BLesF21/LpiojQ2mxlb2uAJCVBbRr51lfu127xdNuV9JYyVhftaX98GGla4SWBQuAXr3MLRfx+m0UtmwSkeV4z0EtY/8+QAmkZs7UzhcKKC1jGzZYo64AcOqUb2DtcvkO8gKAiRPlDDSBopZ2vVywERHyJOMnCgSDTSKyFL0Rv7Lebk5JAfbtU1q6Bg0qCrzsdmUEt/vgEtnr2qiR9ixIkyYV3Xq225XR2yNHml++0qS2vE+a5Flnu523z8l6yoW6AEREpUlvxO+ff8p7AXc4lFuqvXoBl19eFGBOmODbEih7Xb3ZbEpeyvvvl3OQl5b09KIfRHY7MHmy0ioNKC2astePyBtbNonIUqySW1OLmo9SDTC1+nLKXFetAVEuV1HwLOMgL29aLe+jRgFHjxbdOpc5lyiRFgabRGQpVsitqSeQfJQy19XKPxRUWsdQCOCpp5TBYLLnEiXSwmCTiCxH1uTmxdEKxrxpzbctC60fChMnKgGaVVr6/B1DITiDEFkTg00isiSr3HZ1pwZjesGKestZZu4/FFJTlVvM3bopLX5WaOkr7hi6kzGXKJEWBptERBZhlVvODodSj9GjPfunDhxojZa+lBRg3Tr9lFYqqxxPIgabRESS8B5c4s5KfVMB4NtvfQcLCQFkZoamPKWtbVv/OVRl739L5I7BJhGRJPQGCPXuba2+qa+/rgyY0XLsmLllMVJKivLjQcvnn1vneBIx2CQikoTe4JIvvjC/LEYpLmH7U09Zo+8moLRUz5zpu9xu5wxCZC0MNomIJOFwAMOH+y63wsAgQAm+Ro/2v44Q1hmlrddSPXw4b5+TtTDYJCKSSO/e2stjYswthxG0krprscoobb28okOGhKY8REZhsElEJJFTp7SXnz5tbjmMEEgeUcA6o7StPAEBkTsGm0REEtELyLKyzC9LafMOvrRYbZS2VScgIHJnEyKQmxYUjLy8PMTFxSE3NxeVK1cOdXGIyGJefBEYP95zWUSEEqxYIQjLygIWLwb++ksZlV1QoNRv2DDlFrMV6kjhiddvY5QLdQGIiChw6enKzDre1H6Msgdi6elK8nb3ZpARI6wbZDqdSl/V2Fili0SjRtasJ5VtbNk0AH8ZEZERnE6gXj39pO6yt2zq1c9uB/bulbtuWrQCa7td6UrA2+mhweu3Mdhnk4hIEnqpcqzSj1GvflZJ7eTO6fQNNAGlrlZJ7USksnSwOX78eHTs2BEVK1ZElSpVAnqNEAJjx45FQkICoqOj0bVrV2zZssXYghIRBUBrcJDdrsyzbYWWsEaNtKdvtNutMfrc3dq1+mmerJLaiUhl6WDz/Pnz6NWrF5588smAXzN58mRMnToVM2bMQFZWFmrXro0ePXrg5MmTBpaUiKh4Wqly0tKUebat4OBB7eUTJ8rfahsMKwbXVLZZOth85ZVXMGzYMLRo0SKg9YUQmDZtGl544QXcc889uPLKK/Hxxx/jzJkzmDt3rsGlJSIqnlVT5aSnA+3aabf2WSWYdtexo3YrLqDsg6VLzS0PkZEsHWwGa/fu3Th06BB69uxZuCwyMhJdunTB2rVrdV+Xn5+PvLw8jwcRkZGsMrTT6QQWLNDuvwhYJ4G7N4dDmRddK6eolabkJAIYbHo4dOgQAKBWrVoey2vVqlX4nJbU1FTExcUVPurWrWtoOYmo7EpPV0Zsd+um/JueHuoSlZxalz599IPndu2sewtdbaWeOtX3OfbbJCuRLtgcO3YsbDab38eGDRsuaRs2r3sbQgifZe7GjBmD3NzcwkdOTs4lbZ+ISIvTCTz+eNGIbZlHLnvXRc/atdaYHUmPwwH06qU9R7oVW3SpbJIuqfszzzyD+++/3+86SUlJJXrv2rVrA1BaOOvUqVO4/PDhwz6tne4iIyMRGRlZom0SEQVKKzVQQQGwcKESsMjUAqiX5kjLmjXW7LepUgd+DRpUNFuSFVJZEamkCzbj4+MRHx9vyHvXr18ftWvXxvLly9GqVSsAyoj2VatWYdKkSYZsk4goUGpqIO9bzsOHK7PsyJQMXE3jFEjA2amT8eUJtZQUIDlZuXXesCEDTbIW6W6jB2Pfvn3Izs7Gvn37UFBQgOzsbGRnZ+PUqVOF6zRt2hRfffUVAOX2+dChQzFhwgR89dVX+P333/HII4+gYsWKeOCBB0JVDSIiAP5HKMt2S11tzfO+feytf39rt2q6cziArl0ZaJL1SNeyGYyXXnoJH3/8ceHfamtlRkYGunbtCgDYvn07cnNzC9cZNWoUzp49i6eeegrHjx9Hu3btsGzZMlSqVMnUshMRuVP7OPobhS7b/OgpKUDLltopj4YNA/r2BerUUdI8cc5wInlxbnQDcG5VIiptGRnKCHR/ZJ0fPT29qL+iym4H+vUD5sxRAlGbTUkVJEs3AZITr9/GsPRtdCIiq9CaqtKdzSbvoJKUFCAz07N+Lhfw8cdFLZ5CKLk4ZekmQERFGGwSEUnAe6pKb3a7MsBEVqdOFT9YSAglKCUiuTDYJCKShJWTgBfXcktE8uJHm4hIIlZNAu7dcqvVgmu3Ax06mFsuIrp0DDaJiCSjFZjJ2l/Tndpym5Gh/Dtrlmcd09LkryNRWcTR6AbgaDYiMoPTaf0k4GWhjhQ+eP02hqXzbBIRWZnDYf0ArCzUkcjqeBudiIiIiAzDYJOIiIiIDMNgk4iIwobTqQwQck/errWMiOTBPptERBQW0tOV+d9dLiXNUVqastx7GaesJJILR6MbgKPZiIiC43QC9ep5ziKk5hJ1Xybr/O8kB16/jcHb6EREFHI7d/pOV+ly+S6TfaYkorKIwSYREYWc1nSVdrv1ZkoiKosYbBIRUchpzYrUrx/g3tHLbrfGTElEZQ0HCBERUVhISQGSk5Xb5DExQPv2nsEmoDxPRHJhyyYREYUNhwPo2hU4dUq7Dyf7axLJh8EmERGFnY0bfZexvyaRnBhsEhFRWHE6gdGjfZenprK/JpGMGGwSEVFY0UqDBABt25pfFiK6dAw2iYgorGilQeItdCJ5MdgkIqKwopUGiSmPiOTF1EdERBRWnE6gQQMgMxM4fVpp0WSgSSQvtmwSEVHYSE9X5kjv1k3Js/nXXww0iWTHYJOIiMKC0wk8/njR4CCXCxg0SFlORPJisElERGFBaxR6QQETuRPJjsEmERGFBY5CJ7ImBptERBQWtEahT5yotHjyVjqRvDganYiIwkZKCpCcrNw6z8pSZhJyuZQWz7Q05XkikotNCCFCXQirycvLQ1xcHHJzc1G5cuVQF4eISDpOpzIq3b0PZ0QEsGcPR6eTcXj9NgZvoxMRUdjhYCEi62CwSUREYYeDhYisg8EmERGFHU5ZSWQdHCBERERhw+lUbqE3auQ5WIhTVhLJi8EmERGFhfT0ohmE3EefM8gkkhtvoxMRUchxqkoi62KwSUREIcfR50TWxWCTiIhCjqPPiayLwSYREYUcR58TWRcHCBERUVjg6HMia2KwSUREYcPhYJBJZDW8jU5EREREhmGwSURERESGYbBJRERERIZhsElEREREhmGwSURERESGYbBJRERERIZhsElEREREhmGwSURERESGYbBJRERERIZhsElEREREhmGwSURERESG4dzoBhBCAADy8vJCXBIiIiIKlHrdVq/jVDoYbBrg5MmTAIC6deuGuCREREQUrJMnTyIuLi7UxbAMm2D4XupcLhcOHDiASpUqwWazhbo4YSUvLw9169ZFTk4OKleuHOrilEk8BqHHYxB6PAbhIdyOgxACJ0+eREJCAux29jQsLWzZNIDdbofD4Qh1McJa5cqVw+KLpSzjMQg9HoPQ4zEID+F0HNiiWfoYthMRERGRYRhsEhEREZFhGGySqSIjI/Hyyy8jMjIy1EUps3gMQo/HIPR4DMIDj0PZwAFCRERERGQYtmwSERERkWEYbBIRERGRYRhsEhEREZFhGGwSERERkWEYbJLhUlNT0bZtW1SqVAk1a9bEXXfdhe3bt4e6WGVaamoqbDYbhg4dGuqilDn79+/HQw89hOrVq6NixYq4+uqrsXHjxlAXq8y4ePEiXnzxRdSvXx/R0dFo0KABxo0bB5fLFeqiWdZPP/2E22+/HQkJCbDZbPj66689nhdCYOzYsUhISEB0dDS6du2KLVu2hKawZAgGm2S4VatW4emnn8a6deuwfPlyXLx4ET179sTp06dDXbQyKSsrC2lpaWjZsmWoi1LmHD9+HJ06dUL58uXx3//+F1u3bsUbb7yBKlWqhLpoZcakSZPw/vvvY8aMGdi2bRsmT56MKVOm4O233w510Szr9OnTuOqqqzBjxgzN5ydPnoypU6dixowZyMrKQu3atdGjRw+cPHnS5JKSUZj6iEx35MgR1KxZE6tWrcL1118f6uKUKadOncI111yDd999F6+99hquvvpqTJs2LdTFKjOef/55rFmzBj///HOoi1Jm3XbbbahVqxbS09MLl917772oWLEiPvnkkxCWrGyw2Wz46quvcNdddwFQWjUTEhIwdOhQjB49GgCQn5+PWrVqYdKkSRg0aFAIS0ulhS2bZLrc3FwAQLVq1UJckrLn6aefxq233oobb7wx1EUpk7755hu0adMGvXr1Qs2aNdGqVSvMnDkz1MUqU6677jr8+OOP2LFjBwDgf//7H1avXo1bbrklxCUrm3bv3o1Dhw6hZ8+ehcsiIyPRpUsXrF27NoQlo9JULtQFoLJFCIHhw4fjuuuuw5VXXhnq4pQpn3/+OTZt2oSsrKxQF6XM2rVrF9577z0MHz4c//rXv7B+/XoMHjwYkZGRePjhh0NdvDJh9OjRyM3NRdOmTREREYGCggKMHz8effv2DXXRyqRDhw4BAGrVquWxvFatWti7d28oikQGYLBJpnrmmWfw66+/YvXq1aEuSpmSk5ODIUOGYNmyZYiKigp1ccosl8uFNm3aYMKECQCAVq1aYcuWLXjvvfcYbJpk/vz5+PTTTzF37lxcccUVyM7OxtChQ5GQkID+/fuHunhlls1m8/hbCOGzjOTFYJNM8+yzz+Kbb77BTz/9BIfDEerilCkbN27E4cOH0bp168JlBQUF+OmnnzBjxgzk5+cjIiIihCUsG+rUqYPmzZt7LGvWrBkWLVoUohKVPSNHjsTzzz+P+++/HwDQokUL7N27F6mpqQw2Q6B27doAlBbOOnXqFC4/fPiwT2snyYt9NslwQgg888wz+PLLL7FixQrUr18/1EUqc7p3747ffvsN2dnZhY82bdrgwQcfRHZ2NgNNk3Tq1Mkn7deOHTtQr169EJWo7Dlz5gzsds9LX0REBFMfhUj9+vVRu3ZtLF++vHDZ+fPnsWrVKnTs2DGEJaPSxJZNMtzTTz+NuXPn4j//+Q8qVapU2EcnLi4O0dHRIS5d2VCpUiWfPrIxMTGoXr06+86aaNiwYejYsSMmTJiA3r17Y/369UhLS0NaWlqoi1Zm3H777Rg/fjwSExNxxRVXYPPmzZg6dSoGDBgQ6qJZ1qlTp/Dnn38W/r17925kZ2ejWrVqSExMxNChQzFhwgQ0atQIjRo1woQJE1CxYkU88MADISw1lSpBZDAAmo/Zs2eHumhlWpcuXcSQIUNCXYwy59tvvxVXXnmliIyMFE2bNhVpaWmhLlKZkpeXJ4YMGSISExNFVFSUaNCggXjhhRdEfn5+qItmWRkZGZrXgP79+wshhHC5XOLll18WtWvXFpGRkeL6668Xv/32W2gLTaWKeTaJiIiIyDDss0lEREREhmGwSURERESGYbBJRERERIZhsElEREREhmGwSURERESGYbBJRERERIZhsElEREREhmGwSURhb8+ePbDZbMjOzg51US7ZmjVr0KJFC5QvXx533XVXqItDRGQ4BptERMV45JFHSi0wHD58OK6++mrs3r0bH330Uam8Z6A++ugjVKlSxdRtEhEx2CQiw5w/fz7URbgkBQUFcLlcpfqef/31F7p16waHwxFw4Cf7fiSiso3BJhGVmq5du+KZZ57B8OHDER8fjx49egAAtm7diltuuQWxsbGoVasW+vXrh6NHjxa+7vvvv8d1112HKlWqoHr16rjtttvw119/BbXtpKQkvPrqq3jggQcQGxuLhIQEvP322x7rTJ06FS1atEBMTAzq1q2Lp556CqdOnSp8Xm35W7x4MZo3b47IyEg8+uij+Pjjj/Gf//wHNpsNNpsNK1eu1CxDfn4+Bg8ejJo1ayIqKgrXXXcdsrKyABR1BTh27BgGDBgAm82m27KZlJSE1157DY888gji4uIwcOBAAMCiRYtwxRVXIDIyEklJSXjjjTc8Xnf8+HE8/PDDqFq1KipWrIibb74ZO3fuBACsXLkSjz76KHJzcwvrMXbsWADAu+++i0aNGiEqKgq1atXCfffdF9S+JyLyK9STsxORdXTp0kXExsaKkSNHij/++ENs27ZNHDhwQMTHx4sxY8aIbdu2iU2bNokePXqIG264ofB1X3zxhVi0aJHYsWOH2Lx5s7j99ttFixYtREFBgRBCiN27dwsAYvPmzbrbrlevnqhUqZJITU0V27dvF2+99ZaIiIgQy5YtK1znzTffFCtWrBC7du0SP/74o2jSpIl48sknC5+fPXu2KF++vOjYsaNYs2aN+OOPP8SJEydE7969xU033SQOHjwoDh48KPLz8zXLMHjwYJGQkCCWLFkitmzZIvr37y+qVq0qjh07Ji5evCgOHjwoKleuLKZNmyYOHjwozpw5o1uXypUriylTpoidO3eKnTt3ig0bNgi73S7GjRsntm/fLmbPni2io6PF7NmzC193xx13iGbNmomffvpJZGdni+TkZNGwYUNx/vx5kZ+fL6ZNmyYqV65cWI+TJ0+KrKwsERERIebOnSv27NkjNm3aJKZPnx7I4SYiCgiDTSIqNV26dBFXX321x7J///vfomfPnh7LcnJyBACxfft2zfc5fPiwACB+++03IUTgweZNN93ksaxPnz7i5ptv1n3NggULRPXq1Qv/nj17tgAgsrOzPdbr37+/uPPOO3XfRwghTp06JcqXLy8+++yzwmXnz58XCQkJYvLkyYXL4uLiPAJEvbrcddddHsseeOAB0aNHD49lI0eOFM2bNxdCCLFjxw4BQKxZs6bw+aNHj4ro6GixYMGCwvrFxcV5vMeiRYtE5cqVRV5ent8yERGVFG+jE1GpatOmjcffGzduREZGBmJjYwsfTZs2BYDCW+V//fUXHnjgATRo0ACVK1dG/fr1AQD79u0LatsdOnTw+Xvbtm2Ff2dkZKBHjx647LLLUKlSJTz88MM4duwYTp8+XbhOhQoV0LJly6C2q9bhwoUL6NSpU+Gy8uXL49prr/UoQ6C89+O2bds83hsAOnXqhJ07d6KgoADbtm1DuXLl0K5du8Lnq1evjiZNmvjdfo8ePVCvXj00aNAA/fr1w2effYYzZ84EXV4iIj0MNomoVMXExHj87XK5cPvttyM7O9vjsXPnTlx//fUAgNtvvx3Hjh3DzJkz8csvv+CXX34BUDoDY2w2GwBg7969uOWWW3DllVdi0aJF2LhxI9555x0AwIULFwrXj46OLnxNMIQQHttzX16S9/Pej1rvo27T+//BbL9SpUrYtGkT5s2bhzp16uCll17CVVddhRMnTgRdZiIiLQw2ichQ11xzDbZs2YKkpCQ0bNjQ4xETE4Njx45h27ZtePHFF9G9e3c0a9YMx48fL9G21q1b5/O32oq6YcMGXLx4EW+88Qbat2+Pxo0b48CBAwG9b4UKFVBQUOB3nYYNG6JChQpYvXp14bILFy5gw4YNaNasWZA18dW8eXOP9waAtWvXonHjxoiIiEDz5s1x8eLFwkAdAI4dO4YdO3YUbl+vHuXKlcONN96IyZMn49dff8WePXuwYsWKSy4zERHAYJOIDPb000/jn3/+Qd++fbF+/Xrs2rULy5Ytw4ABA1BQUICqVauievXqSEtLw59//okVK1Zg+PDhJdrWmjVrMHnyZOzYsQPvvPMOFi5ciCFDhgAALr/8cly8eBFvv/02du3ahU8++QTvv/9+QO+blJSEX3/9Fdu3b8fRo0c9WkJVMTExePLJJzFy5Eh8//332Lp1KwYOHIgzZ84gJSWlRPVx99xzz+HHH3/Eq6++ih07duDjjz/GjBkzMGLECABAo0aNcOedd2LgwIFYvXo1/ve//+Ghhx7CZZddhjvvvLOwHqdOncKPP/6Io0eP4syZM1i8eDHeeustZGdnY+/evZgzZw5cLheaNGlyyWUmIgLA0ehEVHq6dOkihgwZ4rN8x44d4u677xZVqlQR0dHRomnTpmLo0KHC5XIJIYRYvny5aNasmYiMjBQtW7YUK1euFADEV199JYQIfIDQK6+8Inr37i0qVqwoatWqJaZNm+axztSpU0WdOnVEdHS0SE5OFnPmzBEAxPHjx4UQ2gNohFAGLPXo0UPExsYKACIjI0OzDGfPnhXPPvusiI+PF5GRkaJTp05i/fr1HusEOkDozTff9Fn+xRdfiObNm4vy5cuLxMREMWXKFI/n//nnH9GvXz8RFxdXWMcdO3Z4rPPEE0+I6tWrCwDi5ZdfFj///LPo0qWLqFq1qoiOjhYtW7YU8+fP91s+IqJg2ITQ6ehDRCSRpKQkDB06FEOHDg11UYiIyA1voxMRERGRYRhsEhEREZFheBudiIiIiAzDlk0iIiIiMgyDTSIiIiIyDINNIiIiIjIMg00iIiIiMgyDTSIiIiIyDINNIiIiIjIMg00iIiIiMgyDTSIiIiIyDINNIiIiIjLM/wFzcFrA5ddfjAAAAABJRU5ErkJggg==",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 10\n",
    "w = prod([Polynomial([-n, 1.0]) for n = 1:N])\n",
    "fig = figure()\n",
    "#using Interact\n",
    "#@manipulate for logR in -9:0.1:-1\n",
    "for logR in -9:0.5:-1\n",
    "    display(\n",
    "    withfig(fig) do\n",
    "        plot(1:N, zeros(10), \"r*\")\n",
    "        R = exp10(logR)\n",
    "        for i = 1:100\n",
    "            r = roots(Polynomial(coeffs(w) .* (1 .+ R .* randn(N+1))))\n",
    "            plot(real(r), imag(r), \"b.\")\n",
    "        end\n",
    "        xlabel(\"real part of roots\")\n",
    "        ylabel(\"imaginary part of roots\")\n",
    "        title(\"roots of \\$(x-1)\\\\cdots(x-10)\\$ with coeffs perturbed by R=$R\")\n",
    "    end\n",
    "    )\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Even a **tiny error** causes the roots to be **complete garbage**.  This gets exponentially worse as the degree of the polynomials increases.\n",
    "\n",
    "Because computers inevitably use a finite precision (usually about 15 significant digits), the tiny roundoff errors mean that characteristic polynomials are a computational disaster if they are actually computed explicitly."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Companion matrices\n",
    "\n",
    "Finding **roots of polynomials is *equivalent* to finding eigenvalues**.  Not only can you find eigenvalues by solving for the roots of the characteristic polynomial, but you can conversely find roots of *any* polynomial by turning into a matrix and finding the eigenvalues.\n",
    "\n",
    "Given the degree-$n$ polynomial:\n",
    "\n",
    "$$\n",
    "p(z)=c_0 + c_1 z + \\cdots + c_{n-1}z^{n-1} + z^n \\;,\n",
    "$$\n",
    "\n",
    "(notice that the $z^n$ coefficient is 1), we define the $n \\times n$  **companion matrix**\n",
    "\n",
    "$$\n",
    "C=\\begin{pmatrix}\n",
    "0 & 1 & 0 & \\dots & 0 \\\\\n",
    "0 & 0 & 1 & \\dots & 0 \\\\\n",
    "0 & \\ddots & \\ddots & \\ddots & \\vdots \\\\\n",
    "\\vdots & \\vdots & \\ddots & 0 & 1 \\\\\n",
    "-c_0 & -c_1 & \\dots & -c_{n-2} & -c_{n-1}\n",
    "\\end{pmatrix}.\n",
    "$$\n",
    "\n",
    "The amazing fact is that the *characteristic polynomial* $\\det (C - \\lambda I) = p(\\lambda)$, and so the **eigenvalues of C are the roots of p**.\n",
    "\n",
    "## Proof\n",
    "\n",
    "Suppose $z$ is an root of $p(z) = 0$.  We can now show that this is an eigenvalue of $C$, with eigenvector $= (1,z,z^2,\\ldots,z^{n-1})$:\n",
    "\n",
    "$$\n",
    "C \\begin{pmatrix} 1 \\\\ z \\\\ z^2 \\\\ \\vdots \\\\ z^{n-1} \\end{pmatrix}\n",
    "= \\begin{pmatrix} z \\\\ z^2 \\\\ \\vdots \\\\ z^{n-1} \\\\ -c_0 - c_1 z - \\cdots - c_{n-1} z^{m-1} \\end{pmatrix}\n",
    "= \\begin{pmatrix} z \\\\ z^2 \\\\ \\vdots \\\\ z^{n-1} \\\\ z^n \\end{pmatrix}\n",
    "= z \\begin{pmatrix} 1 \\\\ z \\\\ z^2 \\\\ \\vdots \\\\ z^{n-1} \\end{pmatrix}\n",
    "$$\n",
    "\n",
    "where in the last row we used the fact that $p(z) = 0$ so $z^n = -c_0 - c_1 z - \\cdots - c_{n-1} z^{m-1}$.\n",
    "\n",
    "Hence $z$ is an eigenvalue.  The **eigenvalues of C are the roots of p** and vice versa.\n",
    "\n",
    "## Conclusion\n",
    "\n",
    "If you have a polynomial whose leading coefficient is *not* 1, you can just divide the polynomial by that coefficient to get it in this form, without changing its roots.   Hence the **roots of any polynomial can be found by computing the eigenvalues of a companion matrix.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "companion (generic function with 1 method)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function companion(p::Polynomial)\n",
    "    c = coeffs(p)\n",
    "    n = degree(p)\n",
    "    c = c[1:n] / c[end]\n",
    "    C = [ [ zeros(n-1)'; I ] -c ]'\n",
    "    return C\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$6 - 5\\cdot x + x^{2}$"
      ],
      "text/plain": [
       "Polynomial(6 - 5*x + x^2)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p = Polynomial([-2, 1]) * Polynomial([-3, 1]) # (x - 2) * (x - 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 adjoint(::Matrix{Float64}) with eltype Float64:\n",
       "  0.0  1.0\n",
       " -6.0  5.0"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "C = companion(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Float64}:\n",
       " 2.0\n",
       " 3.0"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eigvals(C)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$-24 + 2\\cdot x + 17\\cdot x^{2} - 8\\cdot x^{3} + x^{4}$"
      ],
      "text/plain": [
       "Polynomial(-24 + 2*x + 17*x^2 - 8*x^3 + x^4)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    " # (x - 2) * (x - 3) * (x - 4) * (x + 1)\n",
    "p = Polynomial([-2, 1]) * Polynomial([-3, 1]) * Polynomial([-4, 1]) * Polynomial([1, 1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4×4 adjoint(::Matrix{Float64}) with eltype Float64:\n",
       "  0.0   1.0    0.0  0.0\n",
       "  0.0   0.0    1.0  0.0\n",
       "  0.0   0.0    0.0  1.0\n",
       " 24.0  -2.0  -17.0  8.0"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "C = companion(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4-element Vector{Float64}:\n",
       " -0.9999999999999991\n",
       "  1.999999999999996\n",
       "  3.0000000000000084\n",
       "  3.9999999999999947"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eigvals(C)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In fact, **this is the most common method to find roots of polynomials of degree ≥ 5**: you find the companion matrix, and compute its eigenvalues.  This is precisely [how the Polynomials package does it](https://github.com/JuliaMath/Polynomials.jl/blob/6153edc221081498f79d59827b2fc5551ef9dd2d/src/polynomials/standard-basis.jl#L440-L464) (albeit with some extra cleverness to check for leading and trailing zero coefficients):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "roots(p::<b>P</b>; <i>kwargs...</i>)<i> where {T, P<:(Polynomials.StandardBasisPolynomial{T})}</i> in Polynomials at <a href=\"file:///Users/stevenj/.julia/packages/Polynomials/4DeNc/src/polynomials/standard-basis.jl\" target=\"_blank\">/Users/stevenj/.julia/packages/Polynomials/4DeNc/src/polynomials/standard-basis.jl:464</a>"
      ],
      "text/plain": [
       "roots(p::P; kwargs...) where {T, P<:(Polynomials.StandardBasisPolynomial{T})} in Polynomials at /Users/stevenj/.julia/packages/Polynomials/4DeNc/src/polynomials/standard-basis.jl:464"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "@which roots(p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This would seem rather circular if eigenvalues were computed, in turn, by finding roots of polynomials.  But they aren't: **practical computer eigenvalue solvers never compute the characteristic polynomial, and don't resemble generic root-finding algorithms (like Newton's method)**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Computing eigenvalues = polynomial roots = hard\n",
    "\n",
    "* Everyone learns the [quadratic formula](https://en.wikipedia.org/wiki/Quadratic_formula) to find roots of a quadratic (degree-2) polynomial.\n",
    "\n",
    "* There is a (horrible) [cubic formula](https://en.wikipedia.org/wiki/Cubic_function) to find the roots of any cubic (degree-3) polynomial.\n",
    "\n",
    "* There is a (terrifying) [quartic formula](https://en.wikipedia.org/wiki/Quartic_function) to find the roots of any quartic (degree-4) polynomial.\n",
    "\n",
    "* There is **no formula** (in terms of a *finite number* of ±,×,÷,ⁿ√) for the roots of an **arbitrary quintic** polynomial or **any degree ≥ 5**.  This is the [Abel–Ruffini theorem](https://en.wikipedia.org/wiki/Abel%E2%80%93Ruffini_theorem), proved in the 19th century.\n",
    "\n",
    "This does **not mean** that you can't compute roots (or eigenvalues) in practice!  But it means that **root-finding/eigenvalue algorithms are necessarily *iterative***: they **converge toward the solution** but **never reach it exactly**.  You can get the solution to *any desired accuracy*.\n",
    "\n",
    "For example we've already seen one such algorithm!  [Newton's method](https://en.wikipedia.org/wiki/Newton%27s_method) is an algorithm that could be used to find the roots of an arbitrary polynomial (given enough starting guesses), and converges *very* quickly without ever exactly *reaching* the root.\n",
    "\n",
    "The most common algorithm to find eigenvalues (and hence polynomial roots, via companion matrices) is the [QR algorithm](https://en.wikipedia.org/wiki/QR_algorithm).  As you might guess, it is *related* to the $A=QR$ factorization.  Explaining *how* and *why* this algorithm works, however, is outside the scope of 18.06.  (It takes me a week+ in 18.335: graduate numerical methods.)\n",
    "\n",
    "This means that the textbook characteristic-polynomial method we use to find eigenvalues of $2\\times 2$ matrices is something of a fraud: unlike Gaussian elimination, it bears no resemblance whatsoever to how eigenvalues are really computed.  In 18.06, therefore, we will mostly assume that the computer hands us the eigenvalues and eigenvectors, and **we will focus on what eigensolutions *mean*, how they are *used*, and what their *properties* are.**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "One thing that it is useful to know, however, is that the computer algorithm to compute eigenvalues/eigenvectors of an $m \\times m$ matrix requires $\\sim m^3$ operations, just like Gaussian elimination.  However, the \"constant\"  coefficient in front of $m^3$ is significantly worse:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  0.025024 seconds (4 allocations: 7.637 MiB)\n",
      "  0.039420 seconds (7 allocations: 8.179 MiB)\n",
      "  0.402130 seconds (14 allocations: 7.936 MiB)\n",
      "  0.628848 seconds (21 allocations: 31.580 MiB)\n"
     ]
    }
   ],
   "source": [
    "A1000 = rand(1000,1000)\n",
    "LinearAlgebra.BLAS.set_num_threads(1) # use 1 cpu for benchmarking\n",
    "@time lu(A1000)\n",
    "@time qr(A1000)\n",
    "@time eigvals(A1000)\n",
    "@time eigen(A1000);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "37.08389555236729"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "@elapsed(eigen(A1000)) / @elapsed(lu(A1000))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finding eigenvalues and/or eigenvectors is not so cheap, but it is often worth it!"
   ]
  }
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